220022404112000 has 256 divisors, whose sum is σ = 626969397600000. Its totient is φ = 75220089753600.

The previous prime is 220022404111987. The next prime is 220022404112011. The reversal of 220022404112000 is 211404220022.

220022404112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220022404112000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 36273551 + ... + 41902449.

It is an arithmetic number, because the mean of its divisors is an integer number (2449099209375).

Almost surely, 2^{220022404112000} is an apocalyptic number.

220022404112000 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 220022404112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313484698800000).

220022404112000 is an abundant number, since it is smaller than the sum of its proper divisors (406946993488000).

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

220022404112000 is an equidigital number, since it uses as much as digits as its factorization.

220022404112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629284 (or 5629262 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 220022404112000 its reverse (211404220022), we get a palindrome (220233808332022).

The spelling of 220022404112000 in words is "two hundred twenty trillion, twenty-two billion, four hundred four million, one hundred twelve thousand".