12311312 has 60 divisors (see below), whose sum is σ = 26890020. Its totient is φ = 5451264.

The previous prime is 12311311. The next prime is 12311333. The reversal of 12311312 is 21311321.

It can be written as a sum of positive squares in 6 ways, for example, as 2676496 + 9634816 = 1636^2 + 3104^2 .

It is a super-2 number, since 2×12311312² = 303136806322688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12311311) 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 11 ways as a sum of consecutive naturals, for example, 78338 + ... + 78494.

It is an arithmetic number, because the mean of its divisors is an integer number (448167).

Almost surely, 2^12311312 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 12311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13445010).

12311312 is an abundant number, since it is smaller than the sum of its proper divisors (14578708).

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

12311312 is a wasteful number, since it uses less digits than its factorization.

12311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its digits is 36, while the sum is 14.

The square root of 12311312 is about 3508.7479248302. The cubic root of 12311312 is about 230.9057666776.

Adding to 12311312 its reverse (21311321), we get a palindrome (33622633).

Subtracting 12311312 from its reverse (21311321), we obtain a palindrome (9000009).

The spelling of 12311312 in words is "twelve million, three hundred eleven thousand, three hundred twelve".