200012022000000 has 2016 divisors, whose sum is σ = 857460909516120. Its totient is φ = 44593920000000.

The previous prime is 200012021999983. The next prime is 200012022000001. The reversal of 200012022000000 is 220210002.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 not an unprimeable number, because it can be changed into a prime (200012022000001) by changing a digit.

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 251 ways as a sum of consecutive naturals, for example, 36161997235 + ... + 36162002765.

Almost surely, 2^{200012022000000} is an apocalyptic number.

200012022000000 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 200012022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428730454758060).

200012022000000 is an abundant number, since it is smaller than the sum of its proper divisors (657448887516120).

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

200012022000000 is an frugal number, since it uses more digits than its factorization.

200012022000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5636 (or 5589 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 200012022000000 its reverse (220210002), we get a palindrome (200012242210002).

The spelling of 200012022000000 in words is "two hundred trillion, twelve billion, twenty-two million", and thus it is an aban number.