12590310938205 has 256 divisors, whose sum is σ = 27441043660800. Its totient is φ = 4759870832640.

The previous prime is 12590310938201. The next prime is 12590310938273. The reversal of 12590310938205 is 50283901309521.

It is not a de Polignac number, because 12590310938205 - 2² = 12590310938201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12590310938201) 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 255 ways as a sum of consecutive naturals, for example, 410239501 + ... + 410270189.

It is an arithmetic number, because the mean of its divisors is an integer number (107191576800).

Almost surely, 2^{12590310938205} is an apocalyptic number.

12590310938205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12590310938205 is an abundant number, since it is smaller than the sum of its proper divisors (14850732722595).

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

12590310938205 is a wasteful number, since it uses less digits than its factorization.

12590310938205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31124.

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 12590310938205 in words is "twelve trillion, five hundred ninety billion, three hundred ten million, nine hundred thirty-eight thousand, two hundred five".