12841416000 has 1120 divisors, whose sum is σ = 57534048000. Its totient is φ = 2762035200.

The previous prime is 12841415971. The next prime is 12841416053. The reversal of 12841416000 is 61414821.

It is a happy number.

12841416000 is a `hidden beast` number, since 12 + 8 + 4 + 1 + 41 + 600 + 0 = 666.

12841416000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 86183926 + ... + 86184074.

Almost surely, 2^12841416000 is an apocalyptic number.

12841416000 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 12841416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28767024000).

12841416000 is an abundant number, since it is smaller than the sum of its proper divisors (44692632000).

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

12841416000 is a wasteful number, since it uses less digits than its factorization.

12841416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12841416000 in words is "twelve billion, eight hundred forty-one million, four hundred sixteen thousand".