12321410000460 has 96 divisors (see below), whose sum is σ = 37846565971200. Its totient is φ = 2970321258240.

The previous prime is 12321410000381. The next prime is 12321410000461. The reversal of 12321410000460 is 6400001412321.

It is a self number, because there is not a number n which added to its sum of digits gives 12321410000460.

It is not an unprimeable number, because it can be changed into a prime (12321410000461) 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 31 ways as a sum of consecutive naturals, for example, 52029355 + ... + 52265634.

It is an arithmetic number, because the mean of its divisors is an integer number (394235062200).

Almost surely, 2^{12321410000460} is an apocalyptic number.

12321410000460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12321410000460 is an abundant number, since it is smaller than the sum of its proper divisors (25525155970740).

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

12321410000460 is a wasteful number, since it uses less digits than its factorization.

12321410000460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104295191 (or 104295189 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12321410000460 its reverse (6400001412321), we get a palindrome (18721411412781).

The spelling of 12321410000460 in words is "twelve trillion, three hundred twenty-one billion, four hundred ten million, four hundred sixty", and thus it is an aban number.