12518291104 has 96 divisors (see below), whose sum is σ = 27669200832. Its totient is φ = 5524992000.

The previous prime is 12518291077. The next prime is 12518291117. The reversal of 12518291104 is 40119281521.

12518291104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12518291104² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12518291104.

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 15 ways as a sum of consecutive naturals, for example, 11473599 + ... + 11474689.

It is an arithmetic number, because the mean of its divisors is an integer number (288220842).

Almost surely, 2^12518291104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12518291104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13834600416).

12518291104 is an abundant number, since it is smaller than the sum of its proper divisors (15150909728).

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

12518291104 is a wasteful number, since it uses less digits than its factorization.

12518291104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The spelling of 12518291104 in words is "twelve billion, five hundred eighteen million, two hundred ninety-one thousand, one hundred four".