220200202202000 has 160 divisors (see below), whose sum is σ = 536391090424800. Its totient is φ = 87427289702400.

The previous prime is 220200202201937. The next prime is 220200202202017. The reversal of 220200202202000 is 202202002022.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 81358379532544 + 138841822669456 = 9019888^2 + 11783116^2 .

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, 2725985612 + ... + 2726066388.

It is an arithmetic number, because the mean of its divisors is an integer number (3352444315155).

Almost surely, 2^{220200202202000} is an apocalyptic number.

220200202202000 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 220200202202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268195545212400).

220200202202000 is an abundant number, since it is smaller than the sum of its proper divisors (316190888222800).

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

220200202202000 is a wasteful number, since it uses less digits than its factorization.

220200202202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90886 (or 90870 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 220200202202000 its reverse (202202002022), we get a palindrome (220402404204022).

The spelling of 220200202202000 in words is "two hundred twenty trillion, two hundred billion, two hundred two million, two hundred two thousand".