220032120 has 128 divisors (see below), whose sum is σ = 823011840. Its totient is φ = 45719040.

The previous prime is 220032091. The next prime is 220032133. The reversal of 220032120 is 21230022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220032096 and 220032105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2667 + ... + 21146.

It is an arithmetic number, because the mean of its divisors is an integer number (6429780).

Almost surely, 2^220032120 is an apocalyptic number.

220032120 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 220032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411505920).

220032120 is an abundant number, since it is smaller than the sum of its proper divisors (602979720).

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

220032120 is a wasteful number, since it uses less digits than its factorization.

220032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23845 (or 23841 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 220032120 is about 14833.4796996524. The cubic root of 220032120 is about 603.7104513957.

Adding to 220032120 its reverse (21230022), we get a palindrome (241262142).

The spelling of 220032120 in words is "two hundred twenty million, thirty-two thousand, one hundred twenty".