212205200 has 30 divisors (see below), whose sum is σ = 509823954. Its totient is φ = 84881920.

The previous prime is 212205181. The next prime is 212205211. The reversal of 212205200 is 2502212.

It can be written as a sum of positive squares in 3 ways, for example, as 70023424 + 142181776 = 8368^2 + 11924^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 264857 + ... + 265656.

Almost surely, 2^212205200 is an apocalyptic number.

212205200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212205200 is an abundant number, since it is smaller than the sum of its proper divisors (297618754).

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

212205200 is a wasteful number, since it uses less digits than its factorization.

212205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530531 (or 530520 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 212205200 is about 14567.2646711728. The cubic root of 212205200 is about 596.4655162211.

Adding to 212205200 its reverse (2502212), we get a palindrome (214707412).

The spelling of 212205200 in words is "two hundred twelve million, two hundred five thousand, two hundred".