Use 120 cubes of the same size to form a cuboid of a*b*c (a, b, and c are all positive integers, and a≤b≤c, a*b*c=120), then it can be assembled into How many cuboids of different shapes are there?
用120个同样大小的正方体，拼搭成一个a*b*c(a、b、c都是正整数，并且a≤b≤c，a*b*c=120)的长方体，那么可拼搭成不同形状的长方体共多少种．
<result>16</result>