122916752928 has 162 divisors, whose sum is σ = 355655106261. Its totient is φ = 40268192256.

The previous prime is 122916752897. The next prime is 122916752969. The reversal of 122916752928 is 829257619221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122916752928 is a `hidden beast` number, since 1 + 2 + 2 + 91 + 6 + 7 + 529 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122351644944 + 565107984 = 349788^2 + 23772^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247908.

It is a super-4 number, since 4×122916752928⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 434334675 + ... + 434334957.

Almost surely, 2^122916752928 is an apocalyptic number.

122916752928 is a gapful number since it is divisible by the number (18) 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 122916752928

122916752928 is an abundant number, since it is smaller than the sum of its proper divisors (232738353333).

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

122916752928 is an frugal number, since it uses more digits than its factorization.

122916752928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 361 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 122916752928 in words is "one hundred twenty-two billion, nine hundred sixteen million, seven hundred fifty-two thousand, nine hundred twenty-eight".