12915702072 has 640 divisors, whose sum is σ = 47421158400. Its totient is φ = 3191519232.

The previous prime is 12915702047. The next prime is 12915702089. The reversal of 12915702072 is 27020751921.

12915702072 is a `hidden beast` number, since 12 + 9 + 1 + 570 + 2 + 0 + 72 = 666.

12915702072 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 a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 120707443 + ... + 120707549.

It is an arithmetic number, because the mean of its divisors is an integer number (74095560).

Almost surely, 2^12915702072 is an apocalyptic number.

12915702072 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 12915702072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23710579200).

12915702072 is an abundant number, since it is smaller than the sum of its proper divisors (34505456328).

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

12915702072 is a wasteful number, since it uses less digits than its factorization.

12915702072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 12915702072 in words is "twelve billion, nine hundred fifteen million, seven hundred two thousand, seventy-two".