212131021012200 has 72 divisors (see below), whose sum is σ = 712406678905350. Its totient is φ = 56568272269440.

The previous prime is 212131021012193. The next prime is 212131021012213. The reversal of 212131021012200 is 2210120131212.

212131021012200 is a `hidden beast` number, since 2 + 1 + 21 + 310 + 210 + 122 + 0 + 0 = 666.

212131021012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 137150003743236 + 74981017268964 = 11711106^2 + 8659158^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 58925281815 + ... + 58925285414.

Almost surely, 2^{212131021012200} is an apocalyptic number.

212131021012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212131021012200 is an abundant number, since it is smaller than the sum of its proper divisors (500275657893150).

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

212131021012200 is a wasteful number, since it uses less digits than its factorization.

212131021012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117850567251 (or 117850567239 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212131021012200 its reverse (2210120131212), we get a palindrome (214341141143412).

The spelling of 212131021012200 in words is "two hundred twelve trillion, one hundred thirty-one billion, twenty-one million, twelve thousand, two hundred".