12133314225 has 36 divisors (see below), whose sum is σ = 21739788252. Its totient is φ = 6468816000.

The previous prime is 12133314199. The next prime is 12133314227. The reversal of 12133314225 is 52241333121.

12133314225 is a `hidden beast` number, since 121 + 3 + 3 + 314 + 225 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1873244961 + 10260069264 = 43281^2 + 101292^2 .

It is not a de Polignac number, because 12133314225 - 2⁹ = 12133313713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12133314227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 770935 + ... + 786515.

It is an arithmetic number, because the mean of its divisors is an integer number (603883007).

Almost surely, 2^12133314225 is an apocalyptic number.

12133314225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12133314225 is a deficient number, since it is larger than the sum of its proper divisors (9606474027).

12133314225 is a wasteful number, since it uses less digits than its factorization.

12133314225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19058 (or 19050 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 12133314225 its reverse (52241333121), we get a palindrome (64374647346).

The spelling of 12133314225 in words is "twelve billion, one hundred thirty-three million, three hundred fourteen thousand, two hundred twenty-five".