12970581120 has 768 divisors, whose sum is σ = 54991872000. Its totient is φ = 2749759488.

The previous prime is 12970581119. The next prime is 12970581131. The reversal of 12970581120 is 2118507921.

It is a happy number.

12970581120 is a `hidden beast` number, since 1 + 2 + 9 + 70 + 581 + 1 + 2 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87050806 + ... + 87050954.

It is an arithmetic number, because the mean of its divisors is an integer number (71604000).

Almost surely, 2^12970581120 is an apocalyptic number.

12970581120 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 12970581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27495936000).

12970581120 is an abundant number, since it is smaller than the sum of its proper divisors (42021290880).

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

12970581120 is a wasteful number, since it uses less digits than its factorization.

12970581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 12970581120 in words is "twelve billion, nine hundred seventy million, five hundred eighty-one thousand, one hundred twenty".