202200212000000 has 252 divisors, whose sum is σ = 504685883688000. Its totient is φ = 80851372800000.

The previous prime is 202200211999997. The next prime is 202200212000009. The reversal of 202200212000000 is 212002202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202200212000009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13995992777 + ... + 13996007223.

Almost surely, 2^{202200212000000} is an apocalyptic number.

202200212000000 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 202200212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252342941844000).

202200212000000 is an abundant number, since it is smaller than the sum of its proper divisors (302485671688000).

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

202200212000000 is an frugal number, since it uses more digits than its factorization.

202200212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17992 (or 17953 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 202200212000000 its reverse (212002202), we get a palindrome (202200424002202).

The spelling of 202200212000000 in words is "two hundred two trillion, two hundred billion, two hundred twelve million", and thus it is an aban number.