122933552 has 60 divisors (see below), whose sum is σ = 286678080. Its totient is φ = 50859648.

The previous prime is 122933549. The next prime is 122933557. The reversal of 122933552 is 255339221.

It is a super-2 number, since 2×122933552² = 30225316414673408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122933557) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20033 + ... + 25439.

It is an arithmetic number, because the mean of its divisors is an integer number (4777968).

Almost surely, 2^122933552 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 122933552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143339040).

122933552 is an abundant number, since it is smaller than the sum of its proper divisors (163744528).

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

122933552 is a wasteful number, since it uses less digits than its factorization.

122933552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458 (or 5445 counting only the distinct ones).

The product of its digits is 16200, while the sum is 32.

The square root of 122933552 is about 11087.5403945149. The cubic root of 122933552 is about 497.2294120414.

The spelling of 122933552 in words is "one hundred twenty-two million, nine hundred thirty-three thousand, five hundred fifty-two".