12530317680 has 400 divisors, whose sum is σ = 45453117600. Its totient is φ = 3195279360.

The previous prime is 12530317663. The next prime is 12530317697. The reversal of 12530317680 is 8671303521.

12530317680 is a `hidden beast` number, since 12 + 530 + 31 + 7 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (12530317663) and next prime (12530317697).

It is a super-2 number, since 2×12530317680² (a number of 21 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 24617266 + ... + 24617774.

It is an arithmetic number, because the mean of its divisors is an integer number (113632794).

Almost surely, 2^12530317680 is an apocalyptic number.

12530317680 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 12530317680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22726558800).

12530317680 is an abundant number, since it is smaller than the sum of its proper divisors (32922799920).

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

12530317680 is a wasteful number, since it uses less digits than its factorization.

12530317680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12530317680 in words is "twelve billion, five hundred thirty million, three hundred seventeen thousand, six hundred eighty".