122624400 has 120 divisors (see below), whose sum is σ = 415982304. Its totient is φ = 30771200.

The previous prime is 122624389. The next prime is 122624407. The reversal of 122624400 is 4426221.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (122624407) 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 23 ways as a sum of consecutive naturals, for example, 17395 + ... + 23405.

Almost surely, 2^122624400 is an apocalyptic number.

122624400 is a gapful number since it is divisible by the number (10) 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 122624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207991152).

122624400 is an abundant number, since it is smaller than the sum of its proper divisors (293357904).

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

122624400 is a wasteful number, since it uses less digits than its factorization.

122624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6049 (or 6038 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 122624400 is about 11073.5902037235. The cubic root of 122624400 is about 496.8122530630.

The spelling of 122624400 in words is "one hundred twenty-two million, six hundred twenty-four thousand, four hundred".