12345712704 has 168 divisors, whose sum is σ = 39039268632. Its totient is φ = 3705937920.

The previous prime is 12345712693. The next prime is 12345712759. The reversal of 12345712704 is 40721754321.

12345712704 is a `hidden beast` number, since 12 + 3 + 4 + 571 + 2 + 70 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 157552704 + 12188160000 = 12552^2 + 110400^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286902 + ... + 327114.

It is an arithmetic number, because the mean of its divisors is an integer number (232376599).

Almost surely, 2^12345712704 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 12345712704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19519634316).

12345712704 is an abundant number, since it is smaller than the sum of its proper divisors (26693555928).

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

12345712704 is a wasteful number, since it uses less digits than its factorization.

12345712704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40285 (or 40272 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

It can be divided in two parts, 123457 and 12704, that added together give a square (136161 = 369²).

The spelling of 12345712704 in words is "twelve billion, three hundred forty-five million, seven hundred twelve thousand, seven hundred four".