212421200 has 60 divisors (see below), whose sum is σ = 521246400. Its totient is φ = 83153280.

The previous prime is 212421199. The next prime is 212421203. The reversal of 212421200 is 2124212.

212421200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212421203) 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 11 ways as a sum of consecutive naturals, for example, 13151 + ... + 24449.

It is an arithmetic number, because the mean of its divisors is an integer number (8687440).

Almost surely, 2^212421200 is an apocalyptic number.

212421200 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 212421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260623200).

212421200 is an abundant number, since it is smaller than the sum of its proper divisors (308825200).

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

212421200 is a wasteful number, since it uses less digits than its factorization.

212421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11364 (or 11353 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 212421200 is about 14574.6766687978. The cubic root of 212421200 is about 596.6678249026.

Adding to 212421200 its reverse (2124212), we get a palindrome (214545412).

Multiplying 212421200 by its reverse (2124212), we get a square (451227662094400 = 21242120²).

212421200 divided by its reverse (2124212) gives a square (100 = 10²).

The spelling of 212421200 in words is "two hundred twelve million, four hundred twenty-one thousand, two hundred".