120656315272500 has 480 divisors, whose sum is σ = 446836317607680. Its totient is φ = 27572161536000.

The previous prime is 120656315272489. The next prime is 120656315272501. The reversal of 120656315272500 is 5272513656021.

It is a happy number.

120656315272500 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 5 + 63 + 15 + 2 + 72 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120656315272501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2200405084 + ... + 2200459916.

It is an arithmetic number, because the mean of its divisors is an integer number (930908995016).

Almost surely, 2^{120656315272500} is an apocalyptic number.

120656315272500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120656315272500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223418158803840).

120656315272500 is an abundant number, since it is smaller than the sum of its proper divisors (326180002335180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120656315272500 is a wasteful number, since it uses less digits than its factorization.

120656315272500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59530 (or 59507 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 120656315272500 in words is "one hundred twenty trillion, six hundred fifty-six billion, three hundred fifteen million, two hundred seventy-two thousand, five hundred".