122938560 has 392 divisors, whose sum is σ = 479730816. Its totient is φ = 29859840.

The previous prime is 122938499. The next prime is 122938573. The reversal of 122938560 is 65839221.

122938560 is a `hidden beast` number, since 1 + 2 + 2 + 93 + 8 + 560 = 666.

It is a super-2 number, since 2×122938560² = 30227779069747200, which contains 22 as substring.

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

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 55 ways as a sum of consecutive naturals, for example, 3965745 + ... + 3965775.

Almost surely, 2^122938560 is an apocalyptic number.

122938560 is a gapful number since it is divisible by the number (10) 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 122938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239865408).

122938560 is an abundant number, since it is smaller than the sum of its proper divisors (356792256).

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

122938560 is an equidigital number, since it uses as much as digits as its factorization.

122938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 122938560 is about 11087.7662313020. The cubic root of 122938560 is about 497.2361639032.

The spelling of 122938560 in words is "one hundred twenty-two million, nine hundred thirty-eight thousand, five hundred sixty".