122802816 has 64 divisors (see below), whose sum is σ = 330210720. Its totient is φ = 40430592.

The previous prime is 122802809. The next prime is 122802851. The reversal of 122802816 is 618208221.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 29946 + ... + 33798.

Almost surely, 2^122802816 is an apocalyptic number.

122802816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165105360).

122802816 is an abundant number, since it is smaller than the sum of its proper divisors (207407904).

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

122802816 is an equidigital number, since it uses as much as digits as its factorization.

122802816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 122802816 is about 11081.6431994538. The cubic root of 122802816 is about 497.0530868617.

The spelling of 122802816 in words is "one hundred twenty-two million, eight hundred two thousand, eight hundred sixteen".