220202002202112 has 2160 divisors, whose sum is σ = 806670670085280. Its totient is φ = 57582379008000.

The previous prime is 220202002202107. The next prime is 220202002202129. The reversal of 220202002202112 is 211202200202022.

220202002202112 is a `hidden beast` number, since 220 + 2 + 0 + 200 + 220 + 21 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 523045135662 + ... + 523045136082.

It is an arithmetic number, because the mean of its divisors is an integer number (373458643558).

Almost surely, 2^{220202002202112} 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 220202002202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403335335042640).

220202002202112 is an abundant number, since it is smaller than the sum of its proper divisors (586468667883168).

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

220202002202112 is a wasteful number, since it uses less digits than its factorization.

220202002202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220202002202112 its reverse (211202200202022), we get a palindrome (431404202404134).

The spelling of 220202002202112 in words is "two hundred twenty trillion, two hundred two billion, two million, two hundred two thousand, one hundred twelve".