12715053120 has 504 divisors, whose sum is σ = 55506567168. Its totient is φ = 2641766400.

The previous prime is 12715053107. The next prime is 12715053121. The reversal of 12715053120 is 2135051721.

12715053120 is a `hidden beast` number, since 12 + 71 + 50 + 531 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (12715053121) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1548225 + ... + 1556415.

Almost surely, 2^12715053120 is an apocalyptic number.

12715053120 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 12715053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27753283584).

12715053120 is an abundant number, since it is smaller than the sum of its proper divisors (42791514048).

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

12715053120 is a wasteful number, since it uses less digits than its factorization.

12715053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8219 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 12715053120 in words is "twelve billion, seven hundred fifteen million, fifty-three thousand, one hundred twenty".