212314132224 has 108 divisors (see below), whose sum is σ = 612304654416. Its totient is φ = 70753959936.

The previous prime is 212314132181. The next prime is 212314132231. The reversal of 212314132224 is 422231413212.

212314132224 is a `hidden beast` number, since 2 + 1 + 2 + 314 + 1 + 322 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12209424 + ... + 12226800.

Almost surely, 2^212314132224 is an apocalyptic number.

212314132224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212314132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306152327208).

212314132224 is an abundant number, since it is smaller than the sum of its proper divisors (399990522192).

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

212314132224 is a wasteful number, since it uses less digits than its factorization.

212314132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22702 (or 22685 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 212314132224 its reverse (422231413212), we get a palindrome (634545545436).

The spelling of 212314132224 in words is "two hundred twelve billion, three hundred fourteen million, one hundred thirty-two thousand, two hundred twenty-four".