220112201100120 has 256 divisors, whose sum is σ = 796590445593600. Its totient is φ = 47663392674816.

The previous prime is 220112201100031. The next prime is 220112201100131. The reversal of 220112201100120 is 21001102211022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220112201100120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13340229 + ... + 24863348.

It is an arithmetic number, because the mean of its divisors is an integer number (3111681428100).

Almost surely, 2^{220112201100120} is an apocalyptic number.

220112201100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220112201100120 is an abundant number, since it is smaller than the sum of its proper divisors (576478244493480).

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

220112201100120 is a wasteful number, since it uses less digits than its factorization.

220112201100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38203655 (or 38203613 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220112201100120 its reverse (21001102211022), we get a palindrome (241113303311142).

The spelling of 220112201100120 in words is "two hundred twenty trillion, one hundred twelve billion, two hundred one million, one hundred thousand, one hundred twenty".