12591129616 has 40 divisors (see below), whose sum is σ = 26288864280. Its totient is φ = 5807533056.

The previous prime is 12591129559. The next prime is 12591129619. The reversal of 12591129616 is 61692119521.

12591129616 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 4 ways, for example, as 29203216 + 12561926400 = 5404^2 + 112080^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12591129619) 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, 316740 + ... + 354268.

It is an arithmetic number, because the mean of its divisors is an integer number (657221607).

Almost surely, 2^12591129616 is an apocalyptic number.

12591129616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12591129616 is an abundant number, since it is smaller than the sum of its proper divisors (13697734664).

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

12591129616 is a wasteful number, since it uses less digits than its factorization.

12591129616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39163 (or 39157 counting only the distinct ones).

The product of its digits is 58320, while the sum is 43.

The spelling of 12591129616 in words is "twelve billion, five hundred ninety-one million, one hundred twenty-nine thousand, six hundred sixteen".