220012112000 has 128 divisors (see below), whose sum is σ = 570788899200. Its totient is φ = 84178406400.

The previous prime is 220012111981. The next prime is 220012112039. The reversal of 220012112000 is 211210022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69071 + ... + 666929.

It is an arithmetic number, because the mean of its divisors is an integer number (4459288275).

Almost surely, 2^220012112000 is an apocalyptic number.

220012112000 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 220012112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285394449600).

220012112000 is an abundant number, since it is smaller than the sum of its proper divisors (350776787200).

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

220012112000 is an equidigital number, since it uses as much as digits as its factorization.

220012112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597911 (or 597889 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220012112000 its reverse (211210022), we get a palindrome (220223322022).

The spelling of 220012112000 in words is "two hundred twenty billion, twelve million, one hundred twelve thousand".