202220200020000 has 240 divisors, whose sum is σ = 663705801158400. Its totient is φ = 53894242176000.

The previous prime is 202220200019989. The next prime is 202220200020017. The reversal of 202220200020000 is 20002022202.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×202220200020000² (a number of 29 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 103007601 + ... + 104952399.

It is an arithmetic number, because the mean of its divisors is an integer number (2765440838160).

Almost surely, 2^{202220200020000} is an apocalyptic number.

202220200020000 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 202220200020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331852900579200).

202220200020000 is an abundant number, since it is smaller than the sum of its proper divisors (461485601138400).

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

202220200020000 is a wasteful number, since it uses less digits than its factorization.

202220200020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946565 (or 1946542 counting only the distinct ones).

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

Adding to 202220200020000 its reverse (20002022202), we get a palindrome (202240202042202).

The spelling of 202220200020000 in words is "two hundred two trillion, two hundred twenty billion, two hundred million, twenty thousand".