122113103013000 has 320 divisors, whose sum is σ = 465657969553920. Its totient is φ = 29603176272000.

The previous prime is 122113103012959. The next prime is 122113103013001. The reversal of 122113103013000 is 310301311221.

122113103013000 is a `hidden beast` number, since 1 + 2 + 21 + 1 + 310 + 30 + 1 + 300 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122113103013001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67634872 + ... + 69416871.

It is an arithmetic number, because the mean of its divisors is an integer number (1455181154856).

Almost surely, 2^{122113103013000} is an apocalyptic number.

122113103013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122113103013000 is an abundant number, since it is smaller than the sum of its proper divisors (343544866540920).

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

122113103013000 is a wasteful number, since it uses less digits than its factorization.

122113103013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137051787 (or 137051764 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 122113103013000 its reverse (310301311221), we get a palindrome (122423404324221).

The spelling of 122113103013000 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred three million, thirteen thousand".