12220444800 has 288 divisors, whose sum is σ = 43833794160. Its totient is φ = 3241728000.

The previous prime is 12220444771. The next prime is 12220444853. The reversal of 12220444800 is 844402221.

12220444800 is a `hidden beast` number, since 12 + 2 + 204 + 448 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12220444800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6075795 + ... + 6077805.

Almost surely, 2^12220444800 is an apocalyptic number.

12220444800 is a gapful number since it is divisible by the number (10) 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 12220444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21916897080).

12220444800 is an abundant number, since it is smaller than the sum of its proper divisors (31613349360).

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

12220444800 is a wasteful number, since it uses less digits than its factorization.

12220444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 12220444800 in words is "twelve billion, two hundred twenty million, four hundred forty-four thousand, eight hundred".