12334314133312 has 112 divisors (see below), whose sum is σ = 25205042588544. Its totient is φ = 5986794240000.

The previous prime is 12334314133289. The next prime is 12334314133331. The reversal of 12334314133312 is 21333141343321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82994623 + ... + 83143105.

It is an arithmetic number, because the mean of its divisors is an integer number (225045023112).

Almost surely, 2^{12334314133312} 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 12334314133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12602521294272).

12334314133312 is an abundant number, since it is smaller than the sum of its proper divisors (12870728455232).

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

12334314133312 is a wasteful number, since it uses less digits than its factorization.

12334314133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148848 (or 148838 counting only the distinct ones).

The product of its digits is 46656, while the sum is 34.

Adding to 12334314133312 its reverse (21333141343321), we get a palindrome (33667455476633).

The spelling of 12334314133312 in words is "twelve trillion, three hundred thirty-four billion, three hundred fourteen million, one hundred thirty-three thousand, three hundred twelve".