212413200 has 60 divisors (see below), whose sum is σ = 680434128. Its totient is φ = 56643200.

The previous prime is 212413199. The next prime is 212413213. The reversal of 212413200 is 2314212.

It is a tau number, because it is divible by the number of its divisors (60).

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 212413200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87306 + ... + 89705.

Almost surely, 2^212413200 is an apocalyptic number.

212413200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212413200 is an abundant number, since it is smaller than the sum of its proper divisors (468020928).

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

212413200 is a wasteful number, since it uses less digits than its factorization.

212413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177032 (or 177021 counting only the distinct ones).

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

The square root of 212413200 is about 14574.4022175868. The cubic root of 212413200 is about 596.6603344348.

Adding to 212413200 its reverse (2314212), we get a palindrome (214727412).

The spelling of 212413200 in words is "two hundred twelve million, four hundred thirteen thousand, two hundred".