212685200 has 120 divisors (see below), whose sum is σ = 629001408. Its totient is φ = 67299840.

The previous prime is 212685197. The next prime is 212685211. The reversal of 212685200 is 2586212.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 212685200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33479 + ... + 39321.

Almost surely, 2^212685200 is an apocalyptic number.

212685200 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 212685200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314500704).

212685200 is an abundant number, since it is smaller than the sum of its proper divisors (416316208).

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

212685200 is a wasteful number, since it uses less digits than its factorization.

212685200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881 (or 5870 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 212685200 is about 14583.7306612540. The cubic root of 212685200 is about 596.9149049095.

The spelling of 212685200 in words is "two hundred twelve million, six hundred eighty-five thousand, two hundred".