212331400200 has 72 divisors (see below), whose sum is σ = 713079625050. Its totient is φ = 56621706240.

The previous prime is 212331400189. The next prime is 212331400219. The reversal of 212331400200 is 2004133212.

212331400200 is a `hidden beast` number, since 212 + 3 + 31 + 400 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 171927988164 + 40403412036 = 414642^2 + 201006^2 .

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, 58979145 + ... + 58982744.

Almost surely, 2^212331400200 is an apocalyptic number.

212331400200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212331400200 is an abundant number, since it is smaller than the sum of its proper divisors (500748224850).

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

212331400200 is a wasteful number, since it uses less digits than its factorization.

212331400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117961911 (or 117961899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212331400200 its reverse (2004133212), we get a palindrome (214335533412).

The spelling of 212331400200 in words is "two hundred twelve billion, three hundred thirty-one million, four hundred thousand, two hundred".