120956172 has 96 divisors (see below), whose sum is σ = 310001664. Its totient is φ = 36590400.

The previous prime is 120956167. The next prime is 120956179. The reversal of 120956172 is 271659021.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (120956179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573147 + ... + 573357.

It is an arithmetic number, because the mean of its divisors is an integer number (3229184).

Almost surely, 2^120956172 is an apocalyptic number.

120956172 is a gapful number since it is divisible by the number (12) 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 120956172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155000832).

120956172 is an abundant number, since it is smaller than the sum of its proper divisors (189045492).

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

120956172 is a wasteful number, since it uses less digits than its factorization.

120956172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 120956172 is about 10998.0076377497. The cubic root of 120956172 is about 494.5490188981.

The spelling of 120956172 in words is "one hundred twenty million, nine hundred fifty-six thousand, one hundred seventy-two".