202220020002000 has 2560 divisors, whose sum is σ = 930043673395200. Its totient is φ = 36436635648000.

The previous prime is 202220020001969. The next prime is 202220020002019. The reversal of 202220020002000 is 200020022202.

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 511 ways as a sum of consecutive naturals, for example, 6444422311 + ... + 6444453689.

It is an arithmetic number, because the mean of its divisors is an integer number (363298309920).

Almost surely, 2^{202220020002000} is an apocalyptic number.

202220020002000 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 202220020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465021836697600).

202220020002000 is an abundant number, since it is smaller than the sum of its proper divisors (727823653393200).

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

202220020002000 is a wasteful number, since it uses less digits than its factorization.

202220020002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31502 (or 31486 counting only the distinct ones).

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

Adding to 202220020002000 its reverse (200020022202), we get a palindrome (202420040024202).

The spelling of 202220020002000 in words is "two hundred two trillion, two hundred twenty billion, twenty million, two thousand".