122764713984 has 672 divisors, whose sum is σ = 422005109760. Its totient is φ = 33973862400.

The previous prime is 122764713931. The next prime is 122764714021. The reversal of 122764713984 is 489317467221.

122764713984 is a `hidden beast` number, since 1 + 22 + 76 + 471 + 3 + 9 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 122764713984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477683584 + ... + 477683840.

Almost surely, 2^122764713984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122764713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211002554880).

122764713984 is an abundant number, since it is smaller than the sum of its proper divisors (299240395776).

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

122764713984 is a wasteful number, since it uses less digits than its factorization.

122764713984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 323 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 122764713984 in words is "one hundred twenty-two billion, seven hundred sixty-four million, seven hundred thirteen thousand, nine hundred eighty-four".