12117059259840 has 672 divisors, whose sum is σ = 43044977664000. Its totient is φ = 3127155572736.

The previous prime is 12117059259797. The next prime is 12117059259853. The reversal of 12117059259840 is 4895295071121.

12117059259840 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 7 + 0 + 5 + 9 + 2 + 598 + 40 = 666.

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 95 ways as a sum of consecutive naturals, for example, 5490284017 + ... + 5490286223.

Almost surely, 2^{12117059259840} is an apocalyptic number.

12117059259840 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 12117059259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21522488832000).

12117059259840 is an abundant number, since it is smaller than the sum of its proper divisors (30927918404160).

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

12117059259840 is a wasteful number, since it uses less digits than its factorization.

12117059259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 12117059259840 in words is "twelve trillion, one hundred seventeen billion, fifty-nine million, two hundred fifty-nine thousand, eight hundred forty".