12584510123 has 2 divisors, whose sum is σ = 12584510124. Its totient is φ = 12584510122.

The previous prime is 12584510101. The next prime is 12584510131. The reversal of 12584510123 is 32101548521.

12584510123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12584510123 - 2¹² = 12584506027 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12584510123.

It is not a weakly prime, because it can be changed into another prime (12584510723) 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 as a sum of consecutive naturals, namely, 6292255061 + 6292255062.

It is an arithmetic number, because the mean of its divisors is an integer number (6292255062).

Almost surely, 2^12584510123 is an apocalyptic number.

12584510123 is a deficient number, since it is larger than the sum of its proper divisors (1).

12584510123 is an equidigital number, since it uses as much as digits as its factorization.

12584510123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 12584510123 in words is "twelve billion, five hundred eighty-four million, five hundred ten thousand, one hundred twenty-three".