212021133200 has 60 divisors (see below), whose sum is σ = 509425350420. Its totient is φ = 84801031680.

The previous prime is 212021133193. The next prime is 212021133229. The reversal of 212021133200 is 2331120212.

212021133200 is digitally balanced in base 3, 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 6 ways, for example, as 1497999616 + 210523133584 = 38704^2 + 458828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8142602 + ... + 8168598.

It is an arithmetic number, because the mean of its divisors is an integer number (8490422507).

Almost surely, 2^212021133200 is an apocalyptic number.

212021133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021133200 is an abundant number, since it is smaller than the sum of its proper divisors (297404217220).

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

212021133200 is a wasteful number, since it uses less digits than its factorization.

212021133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46404 (or 46393 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 212021133200 its reverse (2331120212), we get a palindrome (214352253412).

The spelling of 212021133200 in words is "two hundred twelve billion, twenty-one million, one hundred thirty-three thousand, two hundred".