22301312400 has 180 divisors, whose sum is σ = 77644494720. Its totient is φ = 5927596800.

The previous prime is 22301312393. The next prime is 22301312441. The reversal of 22301312400 is 421310322.

22301312400 is a `hidden beast` number, since 2 + 230 + 1 + 31 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1109641 + ... + 1129559.

It is an arithmetic number, because the mean of its divisors is an integer number (431358304).

Almost surely, 2^22301312400 is an apocalyptic number.

22301312400 is a gapful number since it is divisible by the number (20) 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 22301312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38822247360).

22301312400 is an abundant number, since it is smaller than the sum of its proper divisors (55343182320).

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

22301312400 is a wasteful number, since it uses less digits than its factorization.

22301312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20254 (or 20240 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22301312400 its reverse (421310322), we get a palindrome (22722622722).

The spelling of 22301312400 in words is "twenty-two billion, three hundred one million, three hundred twelve thousand, four hundred".