220200002022000 has 5120 divisors, whose sum is σ = 1035673872629760. Its totient is φ = 38779969536000.

The previous prime is 220200002021977. The next prime is 220200002022059. The reversal of 220200002022000 is 220200002022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 302888585637 + ... + 302888586363.

It is an arithmetic number, because the mean of its divisors is an integer number (202280053248).

Almost surely, 2^{220200002022000} is an apocalyptic number.

220200002022000 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 220200002022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517836936314880).

220200002022000 is an abundant number, since it is smaller than the sum of its proper divisors (815473870607760).

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

220200002022000 is a wasteful number, since it uses less digits than its factorization.

220200002022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 220200002022000 its reverse (220200002022), we get a palindrome (220420202024022).

220200002022000 divided by its reverse (220200002022) gives a cube (1000 = 10³).

The spelling of 220200002022000 in words is "two hundred twenty trillion, two hundred billion, two million, twenty-two thousand".