212531225200 has 60 divisors (see below), whose sum is σ = 583550028880. Its totient is φ = 72867847680.

The previous prime is 212531225197. The next prime is 212531225227. The reversal of 212531225200 is 2522135212.

212531225200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37949205 + ... + 37954804.

Almost surely, 2^212531225200 is an apocalyptic number.

212531225200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212531225200 is an abundant number, since it is smaller than the sum of its proper divisors (371018803680).

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

212531225200 is a wasteful number, since it uses less digits than its factorization.

212531225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75904034 (or 75904023 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

It can be divided in two parts, 2125312 and 25200, that added together give a palindrome (2150512).

The spelling of 212531225200 in words is "two hundred twelve billion, five hundred thirty-one million, two hundred twenty-five thousand, two hundred".