12584128041 has 27 divisors (see below), whose sum is σ = 18510139557. Its totient is φ = 8238425760.

The previous prime is 12584128019. The next prime is 12584128061. The reversal of 12584128041 is 14082148521.

The square root of 12584128041 is 112179.

It is a perfect power (a square), and thus also a powerful number.

12584128041 is a `hidden beast` number, since 12 + 584 + 1 + 28 + 0 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11882090025 + 702038016 = 109005^2 + 26496^2 .

It is not a de Polignac number, because 12584128041 - 2⁵ = 12584128009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12584127987 and 12584128005.

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 26 ways as a sum of consecutive naturals, for example, 20528451 + ... + 20529063.

Almost surely, 2^12584128041 is an apocalyptic number.

12584128041 is the 112179-th square number.

12584128041 is the 56090-th centered octagonal number.

It is an amenable number.

12584128041 is a deficient number, since it is larger than the sum of its proper divisors (5926011516).

12584128041 is an frugal number, since it uses more digits than its factorization.

12584128041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Multiplying 12584128041 by its sum of digits (36), we get a square (453028609476 = 673074²).

Adding to 12584128041 its product of nonzero digits (20480), we get a palindrome (12584148521).

It can be divided in two parts, 12584 and 128041, that added together give a square (140625 = 375²).

The spelling of 12584128041 in words is "twelve billion, five hundred eighty-four million, one hundred twenty-eight thousand, forty-one".