122122122031000 has 128 divisors (see below), whose sum is σ = 351711711711360. Its totient is φ = 38649638592000.

The previous prime is 122122122030991. The next prime is 122122122031027. The reversal of 122122122031000 is 130221221221.

It is a super-2 number, since 2×122122122031000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670909671 + ... + 671091670.

It is an arithmetic number, because the mean of its divisors is an integer number (2747747747745).

Almost surely, 2^{122122122031000} is an apocalyptic number.

122122122031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122122031000 is an abundant number, since it is smaller than the sum of its proper divisors (229589589680360).

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

122122122031000 is a wasteful number, since it uses less digits than its factorization.

122122122031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342001382 (or 1342001368 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 122122122031000 its reverse (130221221221), we get a palindrome (122252343252221).

The spelling of 122122122031000 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty-two million, thirty-one thousand".