122636304376320 has 320 divisors, whose sum is σ = 452248000275456. Its totient is φ = 27769180569600.

The previous prime is 122636304376291. The next prime is 122636304376373. The reversal of 122636304376320 is 23673403636221.

122636304376320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 122636304376320.

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, 4907406 + ... + 16412045.

Almost surely, 2^{122636304376320} is an apocalyptic number.

122636304376320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122636304376320 is an abundant number, since it is smaller than the sum of its proper divisors (329611695899136).

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

122636304376320 is a wasteful number, since it uses less digits than its factorization.

122636304376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21319591 (or 21319575 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 48.

The spelling of 122636304376320 in words is "one hundred twenty-two trillion, six hundred thirty-six billion, three hundred four million, three hundred seventy-six thousand, three hundred twenty".