122932320 has 96 divisors (see below), whose sum is σ = 442568448. Its totient is φ = 28098048.

The previous prime is 122932319. The next prime is 122932339. The reversal of 122932320 is 23239221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×122932320² = 30224710601164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 14934 + ... + 21653.

It is an arithmetic number, because the mean of its divisors is an integer number (4610088).

Almost surely, 2^122932320 is an apocalyptic number.

122932320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122932320 is an abundant number, since it is smaller than the sum of its proper divisors (319636128).

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

122932320 is a wasteful number, since it uses less digits than its factorization.

122932320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36612 (or 36604 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 122932320 is about 11087.4848365173. The cubic root of 122932320 is about 497.2277510121.

The spelling of 122932320 in words is "one hundred twenty-two million, nine hundred thirty-two thousand, three hundred twenty".