12161102842368 has 800 divisors, whose sum is σ = 37836244575360. Its totient is φ = 3886079016960.

The previous prime is 12161102842367. The next prime is 12161102842373. The reversal of 12161102842368 is 86324820116121.

12161102842368 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 1 + 1 + 0 + 284 + 2 + 368 = 666.

It is not an unprimeable number, because it can be changed into a prime (12161102842367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32087342403 + ... + 32087342781.

Almost surely, 2^{12161102842368} is an apocalyptic number.

12161102842368 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 12161102842368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18918122287680).

12161102842368 is an abundant number, since it is smaller than the sum of its proper divisors (25675141732992).

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

12161102842368 is a wasteful number, since it uses less digits than its factorization.

12161102842368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

Adding to 12161102842368 its reverse (86324820116121), we get a palindrome (98485922958489).

The spelling of 12161102842368 in words is "twelve trillion, one hundred sixty-one billion, one hundred two million, eight hundred forty-two thousand, three hundred sixty-eight".