22500512100 has 576 divisors, whose sum is σ = 81994752000. Its totient is φ = 5311785600.

The previous prime is 22500512087. The next prime is 22500512107. The reversal of 22500512100 is 121500522.

22500512100 is a `hidden beast` number, since 2 + 2 + 50 + 0 + 512 + 100 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22500512107) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113067801 + ... + 113067999.

It is an arithmetic number, because the mean of its divisors is an integer number (142352000).

Almost surely, 2^22500512100 is an apocalyptic number.

22500512100 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 22500512100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40997376000).

22500512100 is an abundant number, since it is smaller than the sum of its proper divisors (59494239900).

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

22500512100 is a wasteful number, since it uses less digits than its factorization.

22500512100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 22500512100 in words is "twenty-two billion, five hundred million, five hundred twelve thousand, one hundred".