212121221200200 has 288 divisors, whose sum is σ = 767220771681000. Its totient is φ = 52211117998080.

The previous prime is 212121221200181. The next prime is 212121221200249. The reversal of 212121221200200 is 2002122121212.

It is a happy number.

212121221200200 is a `hidden beast` number, since 2 + 1 + 21 + 21 + 221 + 200 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 5184537733764 + 206936683466436 = 2276958^2 + 14385294^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 376388226 + ... + 376951374.

Almost surely, 2^{212121221200200} is an apocalyptic number.

212121221200200 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 212121221200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383610385840500).

212121221200200 is an abundant number, since it is smaller than the sum of its proper divisors (555099550480800).

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

212121221200200 is a wasteful number, since it uses less digits than its factorization.

212121221200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579281 (or 579269 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212121221200200 its reverse (2002122121212), we get a palindrome (214123343321412).

The spelling of 212121221200200 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred thousand, two hundred".