220112128 has 36 divisors (see below), whose sum is σ = 443766708. Its totient is φ = 108953600.

The previous prime is 220112119. The next prime is 220112129. The reversal of 220112128 is 821211022.

It can be written as a sum of positive squares in 2 ways, for example, as 213393664 + 6718464 = 14608^2 + 2592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21600 + ... + 30112.

It is an arithmetic number, because the mean of its divisors is an integer number (12326853).

Almost surely, 2^220112128 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 220112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221883354).

220112128 is an abundant number, since it is smaller than the sum of its proper divisors (223654580).

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

220112128 is an equidigital number, since it uses as much as digits as its factorization.

220112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8630 (or 8616 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 220112128 is about 14836.1763268033. The cubic root of 220112128 is about 603.7836161871.

The spelling of 220112128 in words is "two hundred twenty million, one hundred twelve thousand, one hundred twenty-eight".