122756832 has 72 divisors (see below), whose sum is σ = 380835000. Its totient is φ = 37198080.

The previous prime is 122756801. The next prime is 122756849. The reversal of 122756832 is 238657221.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16207 + ... + 22542.

It is an arithmetic number, because the mean of its divisors is an integer number (5289375).

Almost surely, 2^122756832 is an apocalyptic number.

122756832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122756832 is an abundant number, since it is smaller than the sum of its proper divisors (258078168).

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

122756832 is a wasteful number, since it uses less digits than its factorization.

122756832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38776 (or 38765 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 122756832 is about 11079.5682226339. The cubic root of 122756832 is about 496.9910379517.

The spelling of 122756832 in words is "one hundred twenty-two million, seven hundred fifty-six thousand, eight hundred thirty-two".