12585205000 has 40 divisors (see below), whose sum is σ = 29487147030. Its totient is φ = 5034080000.

The previous prime is 12585204959. The next prime is 12585205001. The reversal of 12585205000 is 50258521.

12585205000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 393070276 + 12192134724 = 19826^2 + 110418^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 12585205000.

It is not an unprimeable number, because it can be changed into a prime (12585205001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1253521 + ... + 1263520.

Almost surely, 2^12585205000 is an apocalyptic number.

12585205000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12585205000 is an abundant number, since it is smaller than the sum of its proper divisors (16901942030).

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

12585205000 is an equidigital number, since it uses as much as digits as its factorization.

12585205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517067 (or 2517048 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The spelling of 12585205000 in words is "twelve billion, five hundred eighty-five million, two hundred five thousand".