22812212800 has 84 divisors (see below), whose sum is σ = 60450225556. Its totient is φ = 8422963200.

The previous prime is 22812212789. The next prime is 22812212803. The reversal of 22812212800 is 821221822.

It can be written as a sum of positive squares in 6 ways, for example, as 9974416384 + 12837796416 = 99872^2 + 113304^2 .

It is not an unprimeable number, because it can be changed into a prime (22812212803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 527571 + ... + 569170.

Almost surely, 2^22812212800 is an apocalyptic number.

22812212800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22812212800 is an abundant number, since it is smaller than the sum of its proper divisors (37638012756).

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

22812212800 is a wasteful number, since it uses less digits than its factorization.

22812212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096776 (or 1096761 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 22812212800 in words is "twenty-two billion, eight hundred twelve million, two hundred twelve thousand, eight hundred".