220354872120 has 160 divisors (see below), whose sum is σ = 743960891520. Its totient is φ = 58497603840.

The previous prime is 220354872109. The next prime is 220354872137. The reversal of 220354872120 is 21278453022.

220354872120 is a `hidden beast` number, since 2 + 20 + 3 + 548 + 72 + 1 + 20 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 570030 + ... + 875010.

It is an arithmetic number, because the mean of its divisors is an integer number (4649755572).

Almost surely, 2^220354872120 is an apocalyptic number.

220354872120 is a gapful number since it is divisible by the number (20) 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 220354872120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371980445760).

220354872120 is an abundant number, since it is smaller than the sum of its proper divisors (523606019400).

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

220354872120 is a wasteful number, since it uses less digits than its factorization.

220354872120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305227 (or 305214 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 220354872120 in words is "two hundred twenty billion, three hundred fifty-four million, eight hundred seventy-two thousand, one hundred twenty".