212314200 has 96 divisors (see below), whose sum is σ = 752213760. Its totient is φ = 48528000.

The previous prime is 212314199. The next prime is 212314213. The reversal of 212314200 is 2413212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212314200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21076 + ... + 29475.

It is an arithmetic number, because the mean of its divisors is an integer number (7835560).

Almost surely, 2^212314200 is an apocalyptic number.

212314200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212314200 is an abundant number, since it is smaller than the sum of its proper divisors (539899560).

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

212314200 is a wasteful number, since it uses less digits than its factorization.

212314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50577 (or 50568 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212314200 is about 14571.0054560418. The cubic root of 212314200 is about 596.5676243264.

Adding to 212314200 its reverse (2413212), we get a palindrome (214727412).

The spelling of 212314200 in words is "two hundred twelve million, three hundred fourteen thousand, two hundred".