12365256321 has 72 divisors (see below), whose sum is σ = 20475786240. Its totient is φ = 7176375360.

The previous prime is 12365256287. The next prime is 12365256331.

12365256321 is a `hidden beast` number, since 1 + 23 + 6 + 52 + 563 + 21 = 666.

12365256321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12365256321 - 2⁹ = 12365255809 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12365256331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4009246 + ... + 4012328.

It is an arithmetic number, because the mean of its divisors is an integer number (284385920).

Almost surely, 2^12365256321 is an apocalyptic number.

12365256321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12365256321 is a deficient number, since it is larger than the sum of its proper divisors (8110529919).

12365256321 is a wasteful number, since it uses less digits than its factorization.

12365256321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3253 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 12365256321 in words is "twelve billion, three hundred sixty-five million, two hundred fifty-six thousand, three hundred twenty-one".