22132512900 has 567 divisors, whose sum is σ = 78708752031. Its totient is φ = 5398565760.

The previous prime is 22132512859. The next prime is 22132512901. The reversal of 22132512900 is 921523122.

It is a happy number.

The square root of 22132512900 is 148770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 304223364 + 21828289536 = 17442^2 + 147744^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22132512901) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 763190086 + ... + 763190114.

Almost surely, 2^22132512900 is an apocalyptic number.

22132512900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22132512900 is the 148770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132512900

22132512900 is an abundant number, since it is smaller than the sum of its proper divisors (56576239131).

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

22132512900 is a wasteful number, since it uses less digits than its factorization.

22132512900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 22132512900 in words is "twenty-two billion, one hundred thirty-two million, five hundred twelve thousand, nine hundred".