202000020132000 has 384 divisors, whose sum is σ = 668565176348160. Its totient is φ = 53312692838400.

The previous prime is 202000020131989. The next prime is 202000020132059. The reversal of 202000020132000 is 231020000202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2166661386 + ... + 2166754614.

It is an arithmetic number, because the mean of its divisors is an integer number (1741055146740).

Almost surely, 2^{202000020132000} is an apocalyptic number.

202000020132000 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 202000020132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334282588174080).

202000020132000 is an abundant number, since it is smaller than the sum of its proper divisors (466565156216160).

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

202000020132000 is a wasteful number, since it uses less digits than its factorization.

202000020132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95113 (or 95095 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 202000020132000 its reverse (231020000202), we get a palindrome (202231040132202).

The spelling of 202000020132000 in words is "two hundred two trillion, twenty million, one hundred thirty-two thousand".