220584000120 has 64 divisors (see below), whose sum is σ = 721911277440. Its totient is φ = 53474908800.

The previous prime is 220584000053. The next prime is 220584000127. The reversal of 220584000120 is 21000485022.

It is a super-2 number, since 2×220584000120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220584000127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83553226 + ... + 83555865.

It is an arithmetic number, because the mean of its divisors is an integer number (11279863710).

Almost surely, 2^220584000120 is an apocalyptic number.

220584000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220584000120 is an abundant number, since it is smaller than the sum of its proper divisors (501327277320).

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

220584000120 is a wasteful number, since it uses less digits than its factorization.

220584000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167109116 (or 167109112 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 220584000120 its reverse (21000485022), we get a palindrome (241584485142).

The spelling of 220584000120 in words is "two hundred twenty billion, five hundred eighty-four million, one hundred twenty", and thus it is an aban number.