12141173856 has 192 divisors, whose sum is σ = 37905573888. Its totient is φ = 3330582528.

The previous prime is 12141173833. The next prime is 12141173867. The reversal of 12141173856 is 65837114121.

12141173856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1670326 + ... + 1677578.

It is an arithmetic number, because the mean of its divisors is an integer number (197424864).

Almost surely, 2^12141173856 is an apocalyptic number.

12141173856 is a gapful number since it is divisible by the number (16) 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 12141173856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18952786944).

12141173856 is an abundant number, since it is smaller than the sum of its proper divisors (25764400032).

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

12141173856 is a wasteful number, since it uses less digits than its factorization.

12141173856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7373 (or 7365 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

Adding to 12141173856 its reverse (65837114121), we get a palindrome (77978287977).

The spelling of 12141173856 in words is "twelve billion, one hundred forty-one million, one hundred seventy-three thousand, eight hundred fifty-six".