212867200 has 384 divisors, whose sum is σ = 701205120. Its totient is φ = 61931520.

The previous prime is 212867167. The next prime is 212867209. The reversal of 212867200 is 2768212.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (212867209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4950379 + ... + 4950421.

It is an arithmetic number, because the mean of its divisors is an integer number (1826055).

Almost surely, 2^212867200 is an apocalyptic number.

212867200 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 212867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350602560).

212867200 is an abundant number, since it is smaller than the sum of its proper divisors (488337920).

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

212867200 is a wasteful number, since it uses less digits than its factorization.

212867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 212867200 is about 14589.9691569242. The cubic root of 212867200 is about 597.0851213283.

The spelling of 212867200 in words is "two hundred twelve million, eight hundred sixty-seven thousand, two hundred".