12353312243205 has 48 divisors (see below), whose sum is σ = 21608874059760. Its totient is φ = 6528019728384.

The previous prime is 12353312243203. The next prime is 12353312243281. The reversal of 12353312243205 is 50234221335321.

12353312243205 is a `hidden beast` number, since 12 + 3 + 5 + 3 + 312 + 2 + 4 + 320 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7273598635521 + 5079713607684 = 2696961^2 + 2253822^2 .

It is not a de Polignac number, because 12353312243205 - 2¹ = 12353312243203 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12353312243205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12353312243203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15418567 + ... + 16199963.

It is an arithmetic number, because the mean of its divisors is an integer number (450184876245).

Almost surely, 2^{12353312243205} is an apocalyptic number.

12353312243205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12353312243205 is a deficient number, since it is larger than the sum of its proper divisors (9255561816555).

12353312243205 is a wasteful number, since it uses less digits than its factorization.

12353312243205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784630 (or 784627 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 12353312243205 its reverse (50234221335321), we get a palindrome (62587533578526).

The spelling of 12353312243205 in words is "twelve trillion, three hundred fifty-three billion, three hundred twelve million, two hundred forty-three thousand, two hundred five".