212440200 has 96 divisors (see below), whose sum is σ = 752660160. Its totient is φ = 48556800.

The previous prime is 212440187. The next prime is 212440201. The reversal of 212440200 is 2044212.

212440200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 212440200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212440201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21091 + ... + 29490.

It is an arithmetic number, because the mean of its divisors is an integer number (7840210).

Almost surely, 2^212440200 is an apocalyptic number.

212440200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212440200 is an abundant number, since it is smaller than the sum of its proper divisors (540219960).

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

212440200 is a wasteful number, since it uses less digits than its factorization.

212440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50607 (or 50598 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 212440200 is about 14575.3284697121. The cubic root of 212440200 is about 596.6856140101.

Adding to 212440200 its reverse (2044212), we get a palindrome (214484412).

It can be divided in two parts, 2124 and 40200, that added together give a palindrome (42324).

The spelling of 212440200 in words is "two hundred twelve million, four hundred forty thousand, two hundred".