12220295904 has 192 divisors, whose sum is σ = 36858286080. Its totient is φ = 3936522240.

The previous prime is 12220295897. The next prime is 12220295917. The reversal of 12220295904 is 40959202221.

12220295904 is a `hidden beast` number, since 1 + 22 + 20 + 29 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3602049 + ... + 3605439.

It is an arithmetic number, because the mean of its divisors is an integer number (191970240).

Almost surely, 2^12220295904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220295904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18429143040).

12220295904 is an abundant number, since it is smaller than the sum of its proper divisors (24637990176).

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

12220295904 is a wasteful number, since it uses less digits than its factorization.

12220295904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12220295904 in words is "twelve billion, two hundred twenty million, two hundred ninety-five thousand, nine hundred four".