122138396365440 has 256 divisors, whose sum is σ = 479158324888320. Its totient is φ = 25769859416064.

The previous prime is 122138396365399. The next prime is 122138396365493. The reversal of 122138396365440 is 44563693831221.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 349351369 + ... + 349700808.

It is an arithmetic number, because the mean of its divisors is an integer number (1871712206595).

Almost surely, 2^{122138396365440} is an apocalyptic number.

122138396365440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122138396365440 is an abundant number, since it is smaller than the sum of its proper divisors (357019928522880).

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

122138396365440 is a wasteful number, since it uses less digits than its factorization.

122138396365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699052219 (or 699052207 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 122138396365440 in words is "one hundred twenty-two trillion, one hundred thirty-eight billion, three hundred ninety-six million, three hundred sixty-five thousand, four hundred forty".