122057136 has 120 divisors (see below), whose sum is σ = 360378720. Its totient is φ = 38489088.

The previous prime is 122057129. The next prime is 122057141. The reversal of 122057136 is 631750221.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 453610 + ... + 453878.

It is an arithmetic number, because the mean of its divisors is an integer number (3003156).

Almost surely, 2^122057136 is an apocalyptic number.

122057136 is a gapful number since it is divisible by the number (16) 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 122057136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180189360).

122057136 is an abundant number, since it is smaller than the sum of its proper divisors (238321584).

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

122057136 is a wasteful number, since it uses less digits than its factorization.

122057136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 122057136 is about 11047.9471396273. The cubic root of 122057136 is about 496.0449794451.

The spelling of 122057136 in words is "one hundred twenty-two million, fifty-seven thousand, one hundred thirty-six".