11217601071117 has 24 divisors (see below), whose sum is σ = 18519155513664. Its totient is φ = 6409638601344.

The previous prime is 11217601071091. The next prime is 11217601071151. The reversal of 11217601071117 is 71117010671211.

11217601071117 is a `hidden beast` number, since 1 + 1 + 21 + 7 + 601 + 0 + 7 + 11 + 17 = 666.

It is not a de Polignac number, because 11217601071117 - 2¹¹ = 11217601069069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11217601071917) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4849203 + ... + 6778640.

It is an arithmetic number, because the mean of its divisors is an integer number (771631479736).

Almost surely, 2^{11217601071117} is an apocalyptic number.

It is an amenable number.

11217601071117 is a deficient number, since it is larger than the sum of its proper divisors (7301554442547).

11217601071117 is a wasteful number, since it uses less digits than its factorization.

11217601071117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11643169 (or 11643166 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 36.

The spelling of 11217601071117 in words is "eleven trillion, two hundred seventeen billion, six hundred one million, seventy-one thousand, one hundred seventeen".