212313312 has 120 divisors (see below), whose sum is σ = 631367352. Its totient is φ = 69984000.

The previous prime is 212313307. The next prime is 212313313. The reversal of 212313312 is 213313212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212313313) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 261387 + ... + 262197.

Almost surely, 2^212313312 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 212313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315683676).

212313312 is an abundant number, since it is smaller than the sum of its proper divisors (419054040).

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

212313312 is a wasteful number, since it uses less digits than its factorization.

212313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 917 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 212313312 is about 14570.9749845369. The cubic root of 212313312 is about 596.5667926144.

Adding to 212313312 its reverse (213313212), we get a palindrome (425626524).

The spelling of 212313312 in words is "two hundred twelve million, three hundred thirteen thousand, three hundred twelve".