122013740704128 has 1024 divisors, whose sum is σ = 422704231219200. Its totient is φ = 30324459110400.

The previous prime is 122013740704111. The next prime is 122013740704213. The reversal of 122013740704128 is 821407047310221.

It is a super-2 number, since 2×122013740704128² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 122013740704128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6247173723 + ... + 6247193253.

It is an arithmetic number, because the mean of its divisors is an integer number (412797100800).

Almost surely, 2^{122013740704128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122013740704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211352115609600).

122013740704128 is an abundant number, since it is smaller than the sum of its proper divisors (300690490515072).

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

122013740704128 is a wasteful number, since it uses less digits than its factorization.

122013740704128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19751 (or 19739 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 122013740704128 in words is "one hundred twenty-two trillion, thirteen billion, seven hundred forty million, seven hundred four thousand, one hundred twenty-eight".