12584128005 has 96 divisors (see below), whose sum is σ = 22950345600. Its totient is φ = 6614514432.

The previous prime is 12584128001. The next prime is 12584128009. The reversal of 12584128005 is 50082148521.

It is an interprime number because it is at equal distance from previous prime (12584128001) and next prime (12584128009).

It is not a de Polignac number, because 12584128005 - 2² = 12584128001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12584128001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45429927 + ... + 45430203.

It is an arithmetic number, because the mean of its divisors is an integer number (239066100).

Almost surely, 2^12584128005 is an apocalyptic number.

12584128005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12584128005 is a deficient number, since it is larger than the sum of its proper divisors (10366217595).

12584128005 is a wasteful number, since it uses less digits than its factorization.

12584128005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Adding to 12584128005 its sum of digits (36), we get a square (12584128041 = 112179²).

The spelling of 12584128005 in words is "twelve billion, five hundred eighty-four million, one hundred twenty-eight thousand, five".