12781113961 has 48 divisors (see below), whose sum is σ = 17739654912. Its totient is φ = 8965693440.

The previous prime is 12781113959. The next prime is 12781113973. The reversal of 12781113961 is 16931118721.

12781113961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12781113961 - 2¹ = 12781113959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12781113911) 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 47 ways as a sum of consecutive naturals, for example, 311881 + ... + 350473.

It is an arithmetic number, because the mean of its divisors is an integer number (369576144).

Almost surely, 2^12781113961 is an apocalyptic number.

12781113961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12781113961 is a deficient number, since it is larger than the sum of its proper divisors (4958540951).

12781113961 is a wasteful number, since it uses less digits than its factorization.

12781113961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38662 (or 38651 counting only the distinct ones).

The product of its digits is 18144, while the sum is 40.

The spelling of 12781113961 in words is "twelve billion, seven hundred eighty-one million, one hundred thirteen thousand, nine hundred sixty-one".