220200121002112 has 64 divisors (see below), whose sum is σ = 441650035008000. Its totient is φ = 109354708864000.

The previous prime is 220200121002091. The next prime is 220200121002203. The reversal of 220200121002112 is 211200121002022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×220200121002112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332876487 + ... + 333537337.

It is an arithmetic number, because the mean of its divisors is an integer number (6900781797000).

Almost surely, 2^{220200121002112} 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 220200121002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220825017504000).

220200121002112 is an abundant number, since it is smaller than the sum of its proper divisors (221449914005888).

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

220200121002112 is a wasteful number, since it uses less digits than its factorization.

220200121002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678485 (or 678473 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220200121002112 its reverse (211200121002022), we get a palindrome (431400242004134).

The spelling of 220200121002112 in words is "two hundred twenty trillion, two hundred billion, one hundred twenty-one million, two thousand, one hundred twelve".