220012222100112 has 720 divisors, whose sum is σ = 721455952613760. Its totient is φ = 62342616121344.

The previous prime is 220012222100051. The next prime is 220012222100123. The reversal of 220012222100112 is 211001222210022.

It is a happy number.

220012222100112 is a `hidden beast` number, since 220 + 0 + 1 + 222 + 210 + 0 + 1 + 12 = 666.

It is a super-2 number, since 2×220012222100112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20820683853 + ... + 20820694419.

It is an arithmetic number, because the mean of its divisors is an integer number (1002022156408).

Almost surely, 2^{220012222100112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220012222100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360727976306880).

220012222100112 is an abundant number, since it is smaller than the sum of its proper divisors (501443730513648).

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

220012222100112 is a wasteful number, since it uses less digits than its factorization.

220012222100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11880 (or 11858 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220012222100112 its reverse (211001222210022), we get a palindrome (431013444310134).

The spelling of 220012222100112 in words is "two hundred twenty trillion, twelve billion, two hundred twenty-two million, one hundred thousand, one hundred twelve".