122880816 has 30 divisors (see below), whose sum is σ = 343896020. Its totient is φ = 40960224.

The previous prime is 122880781. The next prime is 122880829. The reversal of 122880816 is 618088221.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 426526 + ... + 426813.

Almost surely, 2^122880816 is an apocalyptic number.

122880816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122880816 is an abundant number, since it is smaller than the sum of its proper divisors (221015204).

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

122880816 is a wasteful number, since it uses less digits than its factorization.

122880816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853353 (or 853344 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 122880816 is about 11085.1619744594. The cubic root of 122880816 is about 497.1583014284.

The spelling of 122880816 in words is "one hundred twenty-two million, eight hundred eighty thousand, eight hundred sixteen".