212516200 has 48 divisors (see below), whose sum is σ = 532114380. Its totient is φ = 78466560.

The previous prime is 212516179. The next prime is 212516203. The reversal of 212516200 is 2615212.

It can be written as a sum of positive squares in 6 ways, for example, as 17690436 + 194825764 = 4206^2 + 13958^2 .

It is not an unprimeable number, because it can be changed into a prime (212516203) 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, 38269 + ... + 43468.

Almost surely, 2^212516200 is an apocalyptic number.

212516200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212516200 is an abundant number, since it is smaller than the sum of its proper divisors (319598180).

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

212516200 is a wasteful number, since it uses less digits than its factorization.

212516200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81766 (or 81757 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 212516200 is about 14577.9353819394. The cubic root of 212516200 is about 596.7567598354.

The spelling of 212516200 in words is "two hundred twelve million, five hundred sixteen thousand, two hundred".