12271115967 has 64 divisors (see below), whose sum is σ = 19295884800. Its totient is φ = 6853939200.

The previous prime is 12271115953. The next prime is 12271115977. The reversal of 12271115967 is 76951117221.

It is not a de Polignac number, because 12271115967 - 2¹⁶ = 12271050431 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12271115947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6100992 + ... + 6103002.

It is an arithmetic number, because the mean of its divisors is an integer number (301498200).

Almost surely, 2^12271115967 is an apocalyptic number.

12271115967 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12271115967 is a deficient number, since it is larger than the sum of its proper divisors (7024768833).

12271115967 is a wasteful number, since it uses less digits than its factorization.

12271115967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264.

The product of its digits is 52920, while the sum is 42.

The spelling of 12271115967 in words is "twelve billion, two hundred seventy-one million, one hundred fifteen thousand, nine hundred sixty-seven".