120 is the fifteenth triangular number—the sum of all integers from 1 to 15 (15 × 16 ÷ 2 = 120). In the numerical mysticism of the Kabbalah, triangular numbers represent the cumulative unfolding of emanation, each step containing all that came before. 120 thus marks the completion of the fifteenth stage, a number that recurs in biblical and esoteric contexts as a symbol of fulfilled cycles and divine measurement.

Position on the Tree of Life

120 corresponds to Path 15, the fifteenth path of the Tree of Life as enumerated in the Sepher Yetzirah. This path is governed by the Hebrew letter Vau (ו) and the astrological sign Taurus. In the sequence of mystic numbers, 120 follows 105 (Path 14) and precedes 136 (Path 16), forming part of the unbroken chain of triangular numbers that ascend from 0 (the zero of the unmanifest) through the sephiroth and paths.

Historical context

The number 120 appears prominently in Jewish tradition. The Torah states that Moses died at the age of 120 (Deuteronomy 34:7), and the same limit is set for human life in Genesis 6:3. Kabbalistic commentators saw in this number the full span of divine governance: 120 is the product of 5 (the number of the letter Heh, representing the Shekinah) and 24 (the number of priestly courses), or, more directly, the number of permutations of the Tetragrammaton when the four letters are arranged in all possible orders—4! = 24, but with the two Hehs considered distinct, the count becomes 120. The Zohar (e.g., III, 215a) connects these 120 permutations to the 120 years of Moses, each permutation a unique channel of divine energy.

In the Sepher Yetzirah, the 32 paths of wisdom are associated with a series of triangular numbers, a system later systematized in the tables of Liber 777. The number 120 itself is the sum of the first fifteen numbers, and 15 is the number of the path of Vau—the ‘nail’ that binds together the structure of the Tree. Medieval Kabbalists such as Abraham Abulafia used triangular numbers in meditative practices, and 120 appears in the gematria of certain divine names (e.g., the word ‘Sabaoth’ in some spellings equals 120).

In the broader Hermetic Qabalah, 120 is also the number of degrees in a regular hexagon’s interior angles, linking it to the six‑pointed star and the hexagram of Tiphareth. The number’s appearance as the mystic number of Path 15 reinforces the path’s role as a stabilising, earthy force (Taurus) that nevertheless contains the full sum of the preceding emanations.

In Liber 777, the number 120 is placed in the column “Mystic Numbers of the Sephiroth” at scale step 15, corresponding to Path 15. It stands as a precise numerical signature for the letter Vau and the astrological sign Taurus, embodying the completed cycle of fifteen steps that leads from the first sephirah to this particular node on the Tree of Life.