122883304048416 has 36 divisors (see below), whose sum is σ = 349449395888502. Its totient is φ = 40961101349376.

The previous prime is 122883304048397. The next prime is 122883304048433. The reversal of 122883304048416 is 614840403388221.

122883304048416 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 83 + 30 + 40 + 484 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111758811132816 + 11124492915600 = 10571604^2 + 3335340^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 213339069241 + ... + 213339069816.

Almost surely, 2^{122883304048416} is an apocalyptic number.

122883304048416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122883304048416 is an abundant number, since it is smaller than the sum of its proper divisors (226566091840086).

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

122883304048416 is a wasteful number, since it uses less digits than its factorization.

122883304048416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426678139073 (or 426678139062 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 122883304048416 in words is "one hundred twenty-two trillion, eight hundred eighty-three billion, three hundred four million, forty-eight thousand, four hundred sixteen".