12730443584 has 28 divisors (see below), whose sum is σ = 25878125028. Its totient is φ = 6209971200.

The previous prime is 12730443571. The next prime is 12730443587. The reversal of 12730443584 is 48534403721.

12730443584 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 2 ways, for example, as 3462145600 + 9268297984 = 58840^2 + 96272^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12730443587) 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 3 ways as a sum of consecutive naturals, for example, 2423147 + ... + 2428394.

It is an arithmetic number, because the mean of its divisors is an integer number (924218751).

Almost surely, 2^12730443584 is an apocalyptic number.

It is an amenable number.

12730443584 is an abundant number, since it is smaller than the sum of its proper divisors (13147681444).

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

12730443584 is an equidigital number, since it uses as much as digits as its factorization.

12730443584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4851594 (or 4851584 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 12730443584 in words is "twelve billion, seven hundred thirty million, four hundred forty-three thousand, five hundred eighty-four".