212252185800 has 108 divisors (see below), whose sum is σ = 712879239345. Its totient is φ = 56595370560.

The previous prime is 212252185703. The next prime is 212252185823. The reversal of 212252185800 is 8581252212.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

212252185800 is a `hidden beast` number, since 2 + 1 + 22 + 52 + 1 + 8 + 580 + 0 = 666.

212252185800 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 2 ways, for example, as 208007142084 + 4245043716 = 456078^2 + 65154^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=325770.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 26 ways as a sum of consecutive naturals, for example, 19540771 + ... + 19551629.

Almost surely, 2^212252185800 is an apocalyptic number.

212252185800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212252185800 is an abundant number, since it is smaller than the sum of its proper divisors (500627053545).

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

212252185800 is an equidigital number, since it uses as much as digits as its factorization.

212252185800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21740 (or 10869 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 212252185800 in words is "two hundred twelve billion, two hundred fifty-two million, one hundred eighty-five thousand, eight hundred".