202020202112000 has 704 divisors, whose sum is σ = 519679568378880. Its totient is φ = 78339244032000.

The previous prime is 202020202111993. The next prime is 202020202112033. The reversal of 202020202112000 is 211202020202.

It is a super-2 number, since 2×202020202112000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271897983629 + ... + 271897984371.

Almost surely, 2^{202020202112000} is an apocalyptic number.

202020202112000 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 202020202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259839784189440).

202020202112000 is an abundant number, since it is smaller than the sum of its proper divisors (317659366266880).

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

202020202112000 is an equidigital number, since it uses as much as digits as its factorization.

202020202112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202020202112000 its reverse (211202020202), we get a palindrome (202231404132202).

The spelling of 202020202112000 in words is "two hundred two trillion, twenty billion, two hundred two million, one hundred twelve thousand".