122131312100000 has 144 divisors (see below), whose sum is σ = 343472333613696. Its totient is φ = 41873592480000.

The previous prime is 122131312099969. The next prime is 122131312100009. The reversal of 122131312100000 is 1213131221.

It is not an unprimeable number, because it can be changed into a prime (122131312100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86536652 + ... + 87936651.

It is an arithmetic number, because the mean of its divisors is an integer number (2385224538984).

Almost surely, 2^{122131312100000} is an apocalyptic number.

122131312100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122131312100000 is an abundant number, since it is smaller than the sum of its proper divisors (221341021513696).

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

122131312100000 is an frugal number, since it uses more digits than its factorization.

122131312100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174473345 (or 174473317 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 122131312100000 its reverse (1213131221), we get a palindrome (122132525231221).

The spelling of 122131312100000 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred twelve million, one hundred thousand".