12971009520 has 960 divisors, whose sum is σ = 56334787200. Its totient is φ = 2759049216.

The previous prime is 12971009507. The next prime is 12971009549. The reversal of 12971009520 is 2590017921.

12971009520 is a `hidden beast` number, since 1 + 29 + 7 + 100 + 9 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145741636 + ... + 145741724.

It is an arithmetic number, because the mean of its divisors is an integer number (58682070).

Almost surely, 2^12971009520 is an apocalyptic number.

12971009520 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 12971009520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28167393600).

12971009520 is an abundant number, since it is smaller than the sum of its proper divisors (43363777680).

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

12971009520 is an equidigital number, since it uses as much as digits as its factorization.

12971009520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

12971009520 divided by its product of nonzero digits (11340) gives a triangular number (1143828 = T₁₅₁₂).

The spelling of 12971009520 in words is "twelve billion, nine hundred seventy-one million, nine thousand, five hundred twenty".