202212120200 has 192 divisors, whose sum is σ = 505523358720. Its totient is φ = 74954240000.

The previous prime is 202212120191. The next prime is 202212120247. The reversal of 202212120200 is 2021212202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65587859 + ... + 65590941.

It is an arithmetic number, because the mean of its divisors is an integer number (2632934160).

Almost surely, 2^202212120200 is an apocalyptic number.

202212120200 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 202212120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252761679360).

202212120200 is an abundant number, since it is smaller than the sum of its proper divisors (303311238520).

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

202212120200 is a wasteful number, since it uses less digits than its factorization.

202212120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3399 counting only the distinct ones).

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

Adding to 202212120200 its reverse (2021212202), we get a palindrome (204233332402).

The spelling of 202212120200 in words is "two hundred two billion, two hundred twelve million, one hundred twenty thousand, two hundred".