12117435324768 has 72 divisors (see below), whose sum is σ = 34509856753008. Its totient is φ = 4033178802432.

The previous prime is 12117435324679. The next prime is 12117435324769. The reversal of 12117435324768 is 86742353471121.

12117435324768 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 7 + 4 + 3 + 532 + 47 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12117435324769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30879196 + ... + 31269147.

It is an arithmetic number, because the mean of its divisors is an integer number (479303566014).

Almost surely, 2^{12117435324768} is an apocalyptic number.

12117435324768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12117435324768 is an abundant number, since it is smaller than the sum of its proper divisors (22392421428240).

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

12117435324768 is a wasteful number, since it uses less digits than its factorization.

12117435324768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62149036 (or 62149025 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

Adding to 12117435324768 its reverse (86742353471121), we get a palindrome (98859788795889).

The spelling of 12117435324768 in words is "twelve trillion, one hundred seventeen billion, four hundred thirty-five million, three hundred twenty-four thousand, seven hundred sixty-eight".