12220217856 has 720 divisors, whose sum is σ = 46186043904. Its totient is φ = 3041280000.

The previous prime is 12220217843. The next prime is 12220217879. The reversal of 12220217856 is 65871202221.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12220217856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120992206 + ... + 120992306.

Almost surely, 2^12220217856 is an apocalyptic number.

12220217856 is a gapful number since it is divisible by the number (16) 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 12220217856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23093021952).

12220217856 is an abundant number, since it is smaller than the sum of its proper divisors (33965826048).

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

12220217856 is a wasteful number, since it uses less digits than its factorization.

12220217856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12220217856 in words is "twelve billion, two hundred twenty million, two hundred seventeen thousand, eight hundred fifty-six".