212712 has 16 divisors (see below), whose sum is σ = 531840. Its totient is φ = 70896.

The previous prime is 212701. The next prime is 212777. The reversal of 212712 is 217212.

It is a junction number, because it is equal to n+sod(n) for n = 212691 and 212700.

It is an unprimeable number.

212712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4408 + ... + 4455.

It is an arithmetic number, because the mean of its divisors is an integer number (33240).

2²¹²⁷¹² is an apocalyptic number.

It is an amenable number.

212712 is an abundant number, since it is smaller than the sum of its proper divisors (319128).

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

212712 is a wasteful number, since it uses less digits than its factorization.

212712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8872 (or 8868 counting only the distinct ones).

The product of its digits is 56, while the sum is 15.

The square root of 212712 is about 461.2071118272. The cubic root of 212712 is about 59.6939975840.

Adding to 212712 its reverse (217212), we get a palindrome (429924).

The spelling of 212712 in words is "two hundred twelve thousand, seven hundred twelve", and thus it is an iban number.