202200212012000 has 48 divisors (see below), whose sum is σ = 496805920923312. Its totient is φ = 80880084803200.

The previous prime is 202200212011991. The next prime is 202200212012021. The reversal of 202200212012000 is 210212002202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25275022502 + ... + 25275030501.

It is an arithmetic number, because the mean of its divisors is an integer number (10350123352569).

Almost surely, 2^{202200212012000} is an apocalyptic number.

202200212012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202200212012000 is an abundant number, since it is smaller than the sum of its proper divisors (294605708911312).

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

202200212012000 is an equidigital number, since it uses as much as digits as its factorization.

202200212012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50550053028 (or 50550053010 counting only the distinct ones).

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

Adding to 202200212012000 its reverse (210212002202), we get a palindrome (202410424014202).

The spelling of 202200212012000 in words is "two hundred two trillion, two hundred billion, two hundred twelve million, twelve thousand".