212313200 has 120 divisors (see below), whose sum is σ = 564929616. Its totient is φ = 76032000.

The previous prime is 212313197. The next prime is 212313251. The reversal of 212313200 is 2313212.

It is a happy number.

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, 320870 + ... + 321530.

Almost surely, 2^212313200 is an apocalyptic number.

212313200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282464808).

212313200 is an abundant number, since it is smaller than the sum of its proper divisors (352616416).

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

212313200 is a wasteful number, since it uses less digits than its factorization.

212313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 212313200 is about 14570.9711412795. The cubic root of 212313200 is about 596.5666877137.

Adding to 212313200 its reverse (2313212), we get a palindrome (214626412).

The spelling of 212313200 in words is "two hundred twelve million, three hundred thirteen thousand, two hundred".