12584588712 has 32 divisors (see below), whose sum is σ = 31661872800. Its totient is φ = 4168142784.

The previous prime is 12584588711. The next prime is 12584588741. The reversal of 12584588712 is 21788548521.

12584588712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12584588711) 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 7 ways as a sum of consecutive naturals, for example, 1666162 + ... + 1673697.

It is an arithmetic number, because the mean of its divisors is an integer number (989433525).

Almost surely, 2^12584588712 is an apocalyptic number.

12584588712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12584588712 is an abundant number, since it is smaller than the sum of its proper divisors (19077284088).

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

12584588712 is a wasteful number, since it uses less digits than its factorization.

12584588712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340025 (or 3340021 counting only the distinct ones).

The product of its digits is 1433600, while the sum is 51.

The spelling of 12584588712 in words is "twelve billion, five hundred eighty-four million, five hundred eighty-eight thousand, seven hundred twelve".