12132305101314 has 32 divisors (see below), whose sum is σ = 27056623510080. Its totient is φ = 4029709874400.

The previous prime is 12132305101313. The next prime is 12132305101373. The reversal of 12132305101314 is 41310150323121.

12132305101314 is a `hidden beast` number, since 1 + 2 + 1 + 32 + 305 + 10 + 1 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12132305101313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 399757632 + ... + 399787979.

It is an arithmetic number, because the mean of its divisors is an integer number (845519484690).

Almost surely, 2^{12132305101314} is an apocalyptic number.

12132305101314 is an abundant number, since it is smaller than the sum of its proper divisors (14924318408766).

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

12132305101314 is a wasteful number, since it uses less digits than its factorization.

12132305101314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799545903 (or 799545897 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 12132305101314 its reverse (41310150323121), we get a palindrome (53442455424435).

The spelling of 12132305101314 in words is "twelve trillion, one hundred thirty-two billion, three hundred five million, one hundred one thousand, three hundred fourteen".