212131323312 has 160 divisors (see below), whose sum is σ = 583844863680. Its totient is φ = 66138931200.

The previous prime is 212131323311. The next prime is 212131323353. The reversal of 212131323312 is 213323131212.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (212131323311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176628312 + ... + 176629512.

It is an arithmetic number, because the mean of its divisors is an integer number (3649030398).

Almost surely, 2^212131323312 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 212131323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291922431840).

212131323312 is an abundant number, since it is smaller than the sum of its proper divisors (371713540368).

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

212131323312 is a wasteful number, since it uses less digits than its factorization.

212131323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2385 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 212131323312 its reverse (213323131212), we get a palindrome (425454454524).

The spelling of 212131323312 in words is "two hundred twelve billion, one hundred thirty-one million, three hundred twenty-three thousand, three hundred twelve".