12135260405052 has 60 divisors (see below), whose sum is σ = 33590083554720. Its totient is φ = 3807140517504.

The previous prime is 12135260405011. The next prime is 12135260405071. The reversal of 12135260405052 is 25050406253121.

12135260405052 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 52 + 60 + 40 + 505 + 2 = 666.

It is a super-2 number, since 2×12135260405052² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12135260404998 and 12135260405016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1101597652 + ... + 1101608667.

It is an arithmetic number, because the mean of its divisors is an integer number (559834725912).

Almost surely, 2^{12135260405052} is an apocalyptic number.

12135260405052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12135260405052 is an abundant number, since it is smaller than the sum of its proper divisors (21454823149668).

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

12135260405052 is a wasteful number, since it uses less digits than its factorization.

12135260405052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203206352 (or 2203206341 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 12135260405052 its reverse (25050406253121), we get a palindrome (37185666658173).

The spelling of 12135260405052 in words is "twelve trillion, one hundred thirty-five billion, two hundred sixty million, four hundred five thousand, fifty-two".