12613242880 has 156 divisors (see below), whose sum is σ = 35212617540. Its totient is φ = 4324196352.

The previous prime is 12613242869. The next prime is 12613242899. The reversal of 12613242880 is 8824231621.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9625964544 + 2987278336 = 98112^2 + 54656^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 997236 + ... + 1009804.

Almost surely, 2^12613242880 is an apocalyptic number.

12613242880 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 12613242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606308770).

12613242880 is an abundant number, since it is smaller than the sum of its proper divisors (22599374660).

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

12613242880 is an equidigital number, since it uses as much as digits as its factorization.

12613242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12612 (or 12583 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 12613242880 in words is "twelve billion, six hundred thirteen million, two hundred forty-two thousand, eight hundred eighty".