12135305585 has 16 divisors (see below), whose sum is σ = 16605053136. Its totient is φ = 8434311168.

The previous prime is 12135305573. The next prime is 12135305591. The reversal of 12135305585 is 58550353121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2637438736 + 9497866849 = 51356^2 + 97457^2 .

It is a cyclic number.

It is not a de Polignac number, because 12135305585 - 2¹⁰ = 12135304561 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5489984 + ... + 5492193.

It is an arithmetic number, because the mean of its divisors is an integer number (1037815821).

Almost surely, 2^12135305585 is an apocalyptic number.

It is an amenable number.

12135305585 is a deficient number, since it is larger than the sum of its proper divisors (4469747551).

12135305585 is a wasteful number, since it uses less digits than its factorization.

12135305585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10982212.

The product of its (nonzero) digits is 90000, while the sum is 38.

The spelling of 12135305585 in words is "twelve billion, one hundred thirty-five million, three hundred five thousand, five hundred eighty-five".