12071289893760 has 768 divisors, whose sum is σ = 45195169147200. Its totient is φ = 3044582277120.

The previous prime is 12071289893711. The next prime is 12071289893783. The reversal of 12071289893760 is 6739898217021.

12071289893760 is a `hidden beast` number, since 1 + 207 + 1 + 289 + 8 + 93 + 7 + 60 = 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, 5121462502 + ... + 5121464858.

Almost surely, 2^{12071289893760} is an apocalyptic number.

12071289893760 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 12071289893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22597584573600).

12071289893760 is an abundant number, since it is smaller than the sum of its proper divisors (33123879253440).

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

12071289893760 is a wasteful number, since it uses less digits than its factorization.

12071289893760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 12071289893760 in words is "twelve trillion, seventy-one billion, two hundred eighty-nine million, eight hundred ninety-three thousand, seven hundred sixty".