122133111012000 has 384 divisors, whose sum is σ = 484979485536000. Its totient is φ = 29608026624000.

The previous prime is 122133111011981. The next prime is 122133111012013. The reversal of 122133111012000 is 210111331221.

122133111012000 is a `hidden beast` number, since 1 + 2 + 21 + 331 + 110 + 1 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50214825 + ... + 52590824.

It is an arithmetic number, because the mean of its divisors is an integer number (1262967410250).

Almost surely, 2^{122133111012000} is an apocalyptic number.

122133111012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133111012000 is an abundant number, since it is smaller than the sum of its proper divisors (362846374524000).

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

122133111012000 is a wasteful number, since it uses less digits than its factorization.

122133111012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102805694 (or 102805670 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122133111012000 its reverse (210111331221), we get a palindrome (122343222343221).

The spelling of 122133111012000 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred eleven million, twelve thousand".