6 and 28 are prefect numbers because the sum of their proper divisors is equal to the number. 120 is the only year date that is a multi-perfect number. The sum of its proper divisors is 2 * 120.
It is the smallest number for which that is possible.
118 is the smallest n such that the range n, n + 1, ... 4n/3 contains at least one prime from each of these forms: 4x + 1, 4x - 1, 6x + 1 and 6x - 1.
117 is the smallest possible length for the longest side of a Heronian tetrahedron (one whose sides are all rational numbers). The other edges are 51, 52, 53, 80, & 84.