122131312310000 has 100 divisors (see below), whose sum is σ = 337933851889392. Its totient is φ = 41873592768000.

The previous prime is 122131312309969. The next prime is 122131312310009. The reversal of 122131312310000 is 13213131221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×122131312310000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131312310009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 872296517 + ... + 872436516.

Almost surely, 2^{122131312310000} is an apocalyptic number.

122131312310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122131312310000 is an abundant number, since it is smaller than the sum of its proper divisors (215802539579392).

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

122131312310000 is an equidigital number, since it uses as much as digits as its factorization.

122131312310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744733068 (or 1744733047 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 122131312310000 its reverse (13213131221), we get a palindrome (122144525441221).

The spelling of 122131312310000 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred twelve million, three hundred ten thousand".