212200200200 has 96 divisors (see below), whose sum is σ = 495233481600. Its totient is φ = 84559292160.

The previous prime is 212200200151. The next prime is 212200200221. The reversal of 212200200200 is 2002002212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123156539 + ... + 123158261.

It is an arithmetic number, because the mean of its divisors is an integer number (5158682100).

Almost surely, 2^212200200200 is an apocalyptic number.

212200200200 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 212200200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247616740800).

212200200200 is an abundant number, since it is smaller than the sum of its proper divisors (283033281400).

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

212200200200 is a wasteful number, since it uses less digits than its factorization.

212200200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3702 counting only the distinct ones).

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

Adding to 212200200200 its reverse (2002002212), we get a palindrome (214202202412).

The spelling of 212200200200 in words is "two hundred twelve billion, two hundred million, two hundred thousand, two hundred".