212800 has 84 divisors (see below), whose sum is σ = 629920. Its totient is φ = 69120.

The previous prime is 212791. The next prime is 212801. The reversal of 212800 is 8212.

212800 is digitally balanced in base 2, 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 (212801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11191 + ... + 11209.

2²¹²⁸⁰⁰ is an apocalyptic number.

212800 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 212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314960).

212800 is an abundant number, since it is smaller than the sum of its proper divisors (417120).

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

212800 is a wasteful number, since it uses less digits than its factorization.

212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 212800 is about 461.3025037868. The cubic root of 212800 is about 59.7022283491.

It can be divided in two parts, 2 and 12800, that multiplied together give a square (25600 = 160²).

The spelling of 212800 in words is "two hundred twelve thousand, eight hundred".