122288832 has 56 divisors (see below), whose sum is σ = 359511600. Its totient is φ = 40762368.

The previous prime is 122288819. The next prime is 122288833. The reversal of 122288832 is 238882221.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122288833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33657 + ... + 37112.

It is an arithmetic number, because the mean of its divisors is an integer number (6419850).

Almost surely, 2^122288832 is an apocalyptic number.

122288832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122288832 is an abundant number, since it is smaller than the sum of its proper divisors (237222768).

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

122288832 is an equidigital number, since it uses as much as digits as its factorization.

122288832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70790 (or 70774 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 122288832 is about 11058.4280980617. The cubic root of 122288832 is about 496.3586549214.

The spelling of 122288832 in words is "one hundred twenty-two million, two hundred eighty-eight thousand, eight hundred thirty-two".