12093907353216 has 256 divisors, whose sum is σ = 35342119895040. Its totient is φ = 3640946356224.

The previous prime is 12093907353193. The next prime is 12093907353277. The reversal of 12093907353216 is 61235370939021.

It is a super-3 number, since 3×12093907353216³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1173818721 + ... + 1173829023.

It is an arithmetic number, because the mean of its divisors is an integer number (138055155840).

Almost surely, 2^{12093907353216} is an apocalyptic number.

12093907353216 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 12093907353216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17671059947520).

12093907353216 is an abundant number, since it is smaller than the sum of its proper divisors (23248212541824).

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

12093907353216 is a wasteful number, since it uses less digits than its factorization.

12093907353216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15383 (or 15371 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 51.

The spelling of 12093907353216 in words is "twelve trillion, ninety-three billion, nine hundred seven million, three hundred fifty-three thousand, two hundred sixteen".