220124804256 has 324 divisors, whose sum is σ = 756184585338. Its totient is φ = 62889861888.

The previous prime is 220124804219. The next prime is 220124804257. The reversal of 220124804256 is 652408421022.

220124804256 is a `hidden beast` number, since 2 + 201 + 24 + 8 + 0 + 425 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123580371600 + 96544432656 = 351540^2 + 310716^2 .

It is a tau number, because it is divible by the number of its divisors (324).

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 220124804256.

It is not an unprimeable number, because it can be changed into a prime (220124804257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10276950 + ... + 10298346.

Almost surely, 2^220124804256 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 220124804256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378092292669).

220124804256 is an abundant number, since it is smaller than the sum of its proper divisors (536059781082).

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

220124804256 is an frugal number, since it uses more digits than its factorization.

220124804256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21445 (or 21409 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 220124804256 in words is "two hundred twenty billion, one hundred twenty-four million, eight hundred four thousand, two hundred fifty-six".