122164032 has 56 divisors (see below), whose sum is σ = 330764896. Its totient is φ = 39771648.

The previous prime is 122164027. The next prime is 122164033. The reversal of 122164032 is 230461221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122164033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 858 + ... + 15654.

It is an arithmetic number, because the mean of its divisors is an integer number (5906516).

Almost surely, 2^122164032 is an apocalyptic number.

122164032 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 122164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165382448).

122164032 is an abundant number, since it is smaller than the sum of its proper divisors (208600864).

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

122164032 is a wasteful number, since it uses less digits than its factorization.

122164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14855 (or 14845 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 122164032 is about 11052.7839027098. The cubic root of 122164032 is about 496.1897470345.

The spelling of 122164032 in words is "one hundred twenty-two million, one hundred sixty-four thousand, thirty-two".