122013001110000 has 2400 divisors, whose sum is σ = 534703980754944. Its totient is φ = 23321548800000.

The previous prime is 122013001109977. The next prime is 122013001110001. The reversal of 122013001110000 is 11100310221.

It is a super-2 number, since 2×122013001110000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122013001110001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 142372229572 + ... + 142372230428.

Almost surely, 2^{122013001110000} is an apocalyptic number.

122013001110000 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 122013001110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267351990377472).

122013001110000 is an abundant number, since it is smaller than the sum of its proper divisors (412690979644944).

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

122013001110000 is a wasteful number, since it uses less digits than its factorization.

122013001110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 122013001110000 its reverse (11100310221), we get a palindrome (122024101420221).

The spelling of 122013001110000 in words is "one hundred twenty-two trillion, thirteen billion, one million, one hundred ten thousand".