220220200020000 has 480 divisors, whose sum is σ = 753051937042944. Its totient is φ = 56268288000000.

The previous prime is 220220200019987. The next prime is 220220200020011. The reversal of 220220200020000 is 20002022022.

It is a tau number, because it is divible by the number of its divisors (480).

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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 187273872 + ... + 188446128.

Almost surely, 2^{220220200020000} is an apocalyptic number.

220220200020000 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 220220200020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376525968521472).

220220200020000 is an abundant number, since it is smaller than the sum of its proper divisors (532831737022944).

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

220220200020000 is a wasteful number, since it uses less digits than its factorization.

220220200020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172422 (or 1172399 counting only the distinct ones).

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

Adding to 220220200020000 its reverse (20002022022), we get a palindrome (220240202042022).

The spelling of 220220200020000 in words is "two hundred twenty trillion, two hundred twenty billion, two hundred million, twenty thousand".