122332896 has 192 divisors, whose sum is σ = 413683200. Its totient is φ = 34449408.

The previous prime is 122332891. The next prime is 122332921. The reversal of 122332896 is 698233221.

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 a self number, because there is not a number n which added to its sum of digits gives 122332896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122332891) 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 31 ways as a sum of consecutive naturals, for example, 683335 + ... + 683513.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^122332896 is an apocalyptic number.

122332896 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 122332896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

122332896 is an abundant number, since it is smaller than the sum of its proper divisors (291350304).

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

122332896 is a wasteful number, since it uses less digits than its factorization.

122332896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 122332896 is about 11060.4202451806. The cubic root of 122332896 is about 496.4182649473.

It can be divided in two parts, 12233 and 2896, that added together give a square (15129 = 123²).

The spelling of 122332896 in words is "one hundred twenty-two million, three hundred thirty-two thousand, eight hundred ninety-six".