12269731968 has 192 divisors, whose sum is σ = 38485399680. Its totient is φ = 3729438720.

The previous prime is 12269731907. The next prime is 12269732009. The reversal of 12269731968 is 86913796221.

12269731968 is a `hidden beast` number, since 1 + 2 + 269 + 7 + 319 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×12269731968² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1238073 + ... + 1247943.

It is an arithmetic number, because the mean of its divisors is an integer number (200444790).

Almost surely, 2^12269731968 is an apocalyptic number.

12269731968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12269731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19242699840).

12269731968 is an abundant number, since it is smaller than the sum of its proper divisors (26215667712).

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

12269731968 is a wasteful number, since it uses less digits than its factorization.

12269731968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9987 (or 9972 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 12269731968 in words is "twelve billion, two hundred sixty-nine million, seven hundred thirty-one thousand, nine hundred sixty-eight".