212312364 has 96 divisors (see below), whose sum is σ = 574560000. Its totient is φ = 60399360.

The previous prime is 212312363. The next prime is 212312369. The reversal of 212312364 is 463213212.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212312363) 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 31 ways as a sum of consecutive naturals, for example, 140887 + ... + 142385.

It is an arithmetic number, because the mean of its divisors is an integer number (5985000).

Almost surely, 2^212312364 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 212312364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280000).

212312364 is an abundant number, since it is smaller than the sum of its proper divisors (362247636).

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

212312364 is a wasteful number, since it uses less digits than its factorization.

212312364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1581 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 212312364 is about 14570.9424540762. The cubic root of 212312364 is about 596.5659047032.

Adding to 212312364 its reverse (463213212), we get a palindrome (675525576).

The spelling of 212312364 in words is "two hundred twelve million, three hundred twelve thousand, three hundred sixty-four".