122112313000032 has 96 divisors (see below), whose sum is σ = 341105929920000. Its totient is φ = 38117233870848.

The previous prime is 122112313000021. The next prime is 122112313000043. The reversal of 122112313000032 is 230000313211221.

It is an interprime number because it is at equal distance from previous prime (122112313000021) and next prime (122112313000043).

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

It is a super-2 number, since 2×122112313000032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112312999972 and 122112313000008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187674532 + ... + 188324067.

It is an arithmetic number, because the mean of its divisors is an integer number (3553186770000).

Almost surely, 2^{122112313000032} is an apocalyptic number.

122112313000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122112313000032 is an abundant number, since it is smaller than the sum of its proper divisors (218993616919968).

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

122112313000032 is a wasteful number, since it uses less digits than its factorization.

122112313000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375998828 (or 375998820 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122112313000032 its reverse (230000313211221), we get a palindrome (352112626211253).

The spelling of 122112313000032 in words is "one hundred twenty-two trillion, one hundred twelve billion, three hundred thirteen million, thirty-two", and thus it is an aban number.