22451330131200 has 270 divisors, whose sum is σ = 83012798972334. Its totient is φ = 5987021230080.

The previous prime is 22451330131189. The next prime is 22451330131247. The reversal of 22451330131200 is 213103315422.

22451330131200 is a `hidden beast` number, since 2 + 2 + 45 + 1 + 3 + 301 + 312 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7443206194176 + 15008123937024 = 2728224^2 + 3874032^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21136047 + ... + 22172846.

Almost surely, 2^{22451330131200} is an apocalyptic number.

22451330131200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22451330131200 is an abundant number, since it is smaller than the sum of its proper divisors (60561468841134).

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

22451330131200 is an equidigital number, since it uses as much as digits as its factorization.

22451330131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43308931 (or 43308903 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 22451330131200 its reverse (213103315422), we get a palindrome (22664433446622).

The spelling of 22451330131200 in words is "twenty-two trillion, four hundred fifty-one billion, three hundred thirty million, one hundred thirty-one thousand, two hundred".