122131013022120 has 256 divisors, whose sum is σ = 390487578624000. Its totient is φ = 30487111863296.

The previous prime is 122131013022113. The next prime is 122131013022191. The reversal of 122131013022120 is 21220310131221.

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, 2225838046 + ... + 2225892914.

It is an arithmetic number, because the mean of its divisors is an integer number (1525342104000).

Almost surely, 2^{122131013022120} is an apocalyptic number.

122131013022120 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 122131013022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195243789312000).

122131013022120 is an abundant number, since it is smaller than the sum of its proper divisors (268356565601880).

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

122131013022120 is a wasteful number, since it uses less digits than its factorization.

122131013022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72112 (or 72108 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122131013022120 its reverse (21220310131221), we get a palindrome (143351323153341).

The spelling of 122131013022120 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, thirteen million, twenty-two thousand, one hundred twenty".