12767112704 has 40 divisors (see below), whose sum is σ = 25583159448. Its totient is φ = 6365071360.

The previous prime is 12767112689. The next prime is 12767112767. The reversal of 12767112704 is 40721176721.

12767112704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 141734 + ... + 213594.

Almost surely, 2^12767112704 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 12767112704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791579724).

12767112704 is an abundant number, since it is smaller than the sum of its proper divisors (12816046744).

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

12767112704 is an frugal number, since it uses more digits than its factorization.

12767112704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72226 (or 72210 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

The spelling of 12767112704 in words is "twelve billion, seven hundred sixty-seven million, one hundred twelve thousand, seven hundred four".