212131331123200 has 72 divisors (see below), whose sum is σ = 525957262420590. Its totient is φ = 84852532428800.

The previous prime is 212131331123149. The next prime is 212131331123267. The reversal of 212131331123200 is 2321133131212.

It can be written as a sum of positive squares in 3 ways, for example, as 134790985442304 + 77340345680896 = 11609952^2 + 8794336^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2071543831 + ... + 2071646230.

Almost surely, 2^{212131331123200} is an apocalyptic number.

212131331123200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212131331123200 is an abundant number, since it is smaller than the sum of its proper divisors (313825931297390).

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

212131331123200 is an equidigital number, since it uses as much as digits as its factorization.

212131331123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143190093 (or 4143190068 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 212131331123200 its reverse (2321133131212), we get a palindrome (214452464254412).

The spelling of 212131331123200 in words is "two hundred twelve trillion, one hundred thirty-one billion, three hundred thirty-one million, one hundred twenty-three thousand, two hundred".