12580282873332 has 288 divisors, whose sum is σ = 34708317517440. Its totient is φ = 3939836060160.

The previous prime is 12580282873297. The next prime is 12580282873339. The reversal of 12580282873332 is 23337828208521.

It is a happy number.

12580282873332 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 0 + 28 + 287 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12580282873339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3776726907 + ... + 3776730237.

It is an arithmetic number, because the mean of its divisors is an integer number (120514991380).

Almost surely, 2^{12580282873332} is an apocalyptic number.

12580282873332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12580282873332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17354158758720).

12580282873332 is an abundant number, since it is smaller than the sum of its proper divisors (22128034644108).

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

12580282873332 is a wasteful number, since it uses less digits than its factorization.

12580282873332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 12580282873332 in words is "twelve trillion, five hundred eighty billion, two hundred eighty-two million, eight hundred seventy-three thousand, three hundred thirty-two".