122931540900 has 432 divisors, whose sum is σ = 473429698560. Its totient is φ = 26052192000.

The previous prime is 122931540857. The next prime is 122931540911. The reversal of 122931540900 is 9045139221.

122931540900 is a `hidden beast` number, since 1 + 2 + 29 + 3 + 1 + 540 + 90 + 0 = 666.

It is a super-2 number, since 2×122931540900² (a number of 23 digits) 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5614975 + ... + 5636825.

It is an arithmetic number, because the mean of its divisors is an integer number (1095902080).

Almost surely, 2^122931540900 is an apocalyptic number.

122931540900 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 122931540900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236714849280).

122931540900 is an abundant number, since it is smaller than the sum of its proper divisors (350498157660).

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

122931540900 is a wasteful number, since it uses less digits than its factorization.

122931540900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21944 (or 21934 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 122931540900 in words is "one hundred twenty-two billion, nine hundred thirty-one million, five hundred forty thousand, nine hundred".