12315123104 has 96 divisors (see below), whose sum is σ = 25100174736. Its totient is φ = 5945425920.

The previous prime is 12315123083. The next prime is 12315123109. The reversal of 12315123104 is 40132151321.

12315123104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 499433104 + 11815690000 = 22348^2 + 108700^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12315123104.

It is not an unprimeable number, because it can be changed into a prime (12315123109) by changing a digit.

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, 36543224 + ... + 36543560.

Almost surely, 2^12315123104 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 12315123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12550087368).

12315123104 is an abundant number, since it is smaller than the sum of its proper divisors (12785051632).

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

12315123104 is a wasteful number, since it uses less digits than its factorization.

12315123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 12315123104 its reverse (40132151321), we get a palindrome (52447274425).

The spelling of 12315123104 in words is "twelve billion, three hundred fifteen million, one hundred twenty-three thousand, one hundred four".