12133240210314 has 96 divisors (see below), whose sum is σ = 27278530845696. Its totient is φ = 3893534023680.

The previous prime is 12133240210261. The next prime is 12133240210349. The reversal of 12133240210314 is 41301204233121.

12133240210314 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 324 + 0 + 21 + 0 + 314 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108502459 + ... + 108614225.

It is an arithmetic number, because the mean of its divisors is an integer number (284151362976).

Almost surely, 2^{12133240210314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133240210314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13639265422848).

12133240210314 is an abundant number, since it is smaller than the sum of its proper divisors (15145290635382).

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

12133240210314 is a wasteful number, since it uses less digits than its factorization.

12133240210314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112820 (or 112817 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12133240210314 its reverse (41301204233121), we get a palindrome (53434444443435).

The spelling of 12133240210314 in words is "twelve trillion, one hundred thirty-three billion, two hundred forty million, two hundred ten thousand, three hundred fourteen".