12144224313 has 24 divisors (see below), whose sum is σ = 19351779720. Its totient is φ = 7291088640.

The previous prime is 12144224299. The next prime is 12144224327. The reversal of 12144224313 is 31342244121.

12144224313 is a `hidden beast` number, since 121 + 4 + 4 + 224 + 313 = 666.

12144224313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12144224299) and next prime (12144224327).

It can be written as a sum of positive squares in 4 ways, for example, as 9659664 + 12134564649 = 3108^2 + 110157^2 .

It is not a de Polignac number, because 12144224313 - 2¹² = 12144220217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12144224413) 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 23 ways as a sum of consecutive naturals, for example, 1261018 + ... + 1270611.

It is an arithmetic number, because the mean of its divisors is an integer number (806324155).

Almost surely, 2^12144224313 is an apocalyptic number.

12144224313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12144224313 is a deficient number, since it is larger than the sum of its proper divisors (7207555407).

12144224313 is a wasteful number, since it uses less digits than its factorization.

12144224313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531689 (or 2531686 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12144224313 its reverse (31342244121), we get a palindrome (43486468434).

The spelling of 12144224313 in words is "twelve billion, one hundred forty-four million, two hundred twenty-four thousand, three hundred thirteen".