22112203100400 has 480 divisors, whose sum is σ = 93857077048320. Its totient is φ = 4834468869120.

The previous prime is 22112203100353. The next prime is 22112203100413. The reversal of 22112203100400 is 400130221122.

It is a happy number.

22112203100400 is a `hidden beast` number, since 2 + 2 + 11 + 220 + 31 + 0 + 0 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4619667 + ... + 8097266.

It is an arithmetic number, because the mean of its divisors is an integer number (195535577184).

Almost surely, 2^{22112203100400} is an apocalyptic number.

22112203100400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112203100400 is an abundant number, since it is smaller than the sum of its proper divisors (71744873947920).

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

22112203100400 is a wasteful number, since it uses less digits than its factorization.

22112203100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12716990 (or 12716973 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22112203100400 its reverse (400130221122), we get a palindrome (22512333321522).

The spelling of 22112203100400 in words is "twenty-two trillion, one hundred twelve billion, two hundred three million, one hundred thousand, four hundred".