220110112000 has 144 divisors (see below), whose sum is σ = 549920826000. Its totient is φ = 87787315200.

The previous prime is 220110111989. The next prime is 220110112007. The reversal of 220110112000 is 211011022.

It can be written as a sum of positive squares in 8 ways, for example, as 46614537216 + 173495574784 = 215904^2 + 416528^2 .

It is a super-2 number, since 2×220110112000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220110112007) 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, 11158146 + ... + 11177854.

It is an arithmetic number, because the mean of its divisors is an integer number (3818894625).

Almost surely, 2^220110112000 is an apocalyptic number.

220110112000 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 220110112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274960413000).

220110112000 is an abundant number, since it is smaller than the sum of its proper divisors (329810714000).

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

220110112000 is an equidigital number, since it uses as much as digits as its factorization.

220110112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20089 (or 20065 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 220110112000 its reverse (211011022), we get a palindrome (220321123022).

The spelling of 220110112000 in words is "two hundred twenty billion, one hundred ten million, one hundred twelve thousand".