12517015344 has 80 divisors (see below), whose sum is σ = 33234584160. Its totient is φ = 4056514560.

The previous prime is 12517015331. The next prime is 12517015367. The reversal of 12517015344 is 44351071521.

12517015344 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-3 number, since 3×12517015344³ (a number of 31 digits) contains 333 as substring.

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, 4653552 + ... + 4656240.

It is an arithmetic number, because the mean of its divisors is an integer number (415432302).

Almost surely, 2^12517015344 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 12517015344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16617292080).

12517015344 is an abundant number, since it is smaller than the sum of its proper divisors (20717568816).

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

12517015344 is a wasteful number, since it uses less digits than its factorization.

12517015344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

Adding to 12517015344 its reverse (44351071521), we get a palindrome (56868086865).

The spelling of 12517015344 in words is "twelve billion, five hundred seventeen million, fifteen thousand, three hundred forty-four".