212839200 has 432 divisors, whose sum is σ = 887193216. Its totient is φ = 47001600.

The previous prime is 212839153. The next prime is 212839213. The reversal of 212839200 is 2938212.

It is a happy number.

212839200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2066349 + ... + 2066451.

It is an arithmetic number, because the mean of its divisors is an integer number (2053688).

Almost surely, 2^212839200 is an apocalyptic number.

212839200 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 212839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443596608).

212839200 is an abundant number, since it is smaller than the sum of its proper divisors (674354016).

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

212839200 is a wasteful number, since it uses less digits than its factorization.

212839200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 212839200 is about 14589.0095619956. The cubic root of 212839200 is about 597.0589405036.

It can be divided in two parts, 2128 and 39200, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 212839200 in words is "two hundred twelve million, eight hundred thirty-nine thousand, two hundred".