12678441189120 has 864 divisors, whose sum is σ = 52436485850112. Its totient is φ = 2765355614208.

The previous prime is 12678441189083. The next prime is 12678441189151. The reversal of 12678441189120 is 2198114487621.

It is a happy number.

12678441189120 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 8 + 441 + 189 + 12 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 803085867 + ... + 803101653.

Almost surely, 2^{12678441189120} is an apocalyptic number.

12678441189120 is a gapful number since it is divisible by the number (10) 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 12678441189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26218242925056).

12678441189120 is an abundant number, since it is smaller than the sum of its proper divisors (39758044660992).

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

12678441189120 is a wasteful number, since it uses less digits than its factorization.

12678441189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16277 (or 16260 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 12678441189120 in words is "twelve trillion, six hundred seventy-eight billion, four hundred forty-one million, one hundred eighty-nine thousand, one hundred twenty".