12581442720 has 768 divisors, whose sum is σ = 55564185600. Its totient is φ = 2582876160.

The previous prime is 12581442719. The next prime is 12581442733. The reversal of 12581442720 is 2724418521.

12581442720 is a `hidden beast` number, since 1 + 2 + 581 + 4 + 4 + 2 + 72 + 0 = 666.

12581442720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 36257587 + ... + 36257933.

It is an arithmetic number, because the mean of its divisors is an integer number (72349200).

Almost surely, 2^12581442720 is an apocalyptic number.

12581442720 is a gapful number since it is divisible by the number (10) 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 12581442720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27782092800).

12581442720 is an abundant number, since it is smaller than the sum of its proper divisors (42982742880).

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

12581442720 is a wasteful number, since it uses less digits than its factorization.

12581442720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 12581442720 in words is "twelve billion, five hundred eighty-one million, four hundred forty-two thousand, seven hundred twenty".