212512 has 24 divisors (see below), whose sum is σ = 434700. Its totient is φ = 102144.

The previous prime is 212507. The next prime is 212557. The reversal of 212512 is 215212.

It can be written as a sum of positive squares in 2 ways, for example, as 197136 + 15376 = 444^2 + 124^2 .

It is a super-2 number, since 2×212512² = 90322700288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212492 and 212501.

It is an unprimeable number.

212512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 814 + ... + 1042.

2²¹²⁵¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217350).

212512 is an abundant number, since it is smaller than the sum of its proper divisors (222188).

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

212512 is a wasteful number, since it uses less digits than its factorization.

212512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its digits is 40, while the sum is 13.

The square root of 212512 is about 460.9902385084. The cubic root of 212512 is about 59.6752828535.

Adding to 212512 its reverse (215212), we get a palindrome (427724).

The spelling of 212512 in words is "two hundred twelve thousand, five hundred twelve".