122157337752 has 96 divisors (see below), whose sum is σ = 334623744000. Its totient is φ = 40256233920.

The previous prime is 122157337747. The next prime is 122157337759. The reversal of 122157337752 is 257733751221.

122157337752 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 573 + 3 + 7 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122157337698 and 122157337707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122157337759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2366377 + ... + 2417447.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664000).

Almost surely, 2^122157337752 is an apocalyptic number.

122157337752 is a gapful number since it is divisible by the number (12) 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 122157337752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872000).

122157337752 is an abundant number, since it is smaller than the sum of its proper divisors (212466406248).

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

122157337752 is a wasteful number, since it uses less digits than its factorization.

122157337752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51461 (or 51454 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The spelling of 122157337752 in words is "one hundred twenty-two billion, one hundred fifty-seven million, three hundred thirty-seven thousand, seven hundred fifty-two".