212312205 has 32 divisors (see below), whose sum is σ = 431366400. Its totient is φ = 97056576.

The previous prime is 212312173. The next prime is 212312231. The reversal of 212312205 is 502213212.

It is not a de Polignac number, because 212312205 - 2⁵ = 212312173 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111390 + ... + 113279.

It is an arithmetic number, because the mean of its divisors is an integer number (13480200).

Almost surely, 2^212312205 is an apocalyptic number.

It is an amenable number.

212312205 is an abundant number, since it is smaller than the sum of its proper divisors (219054195).

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

212312205 is a wasteful number, since it uses less digits than its factorization.

212312205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224690 (or 224684 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 212312205 is about 14570.9369980108. The cubic root of 212312205 is about 596.5657557811.

Adding to 212312205 its reverse (502213212), we get a palindrome (714525417).

It can be divided in two parts, 21231 and 2205, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 212312205 in words is "two hundred twelve million, three hundred twelve thousand, two hundred five".