12211105018608 has 60 divisors (see below), whose sum is σ = 34261985585880. Its totient is φ = 4059904649088.

The previous prime is 12211105018571. The next prime is 12211105018613. The reversal of 12211105018608 is 80681050111221.

12211105018608 is a `hidden beast` number, since 1 + 2 + 21 + 1 + 10 + 5 + 0 + 18 + 608 = 666.

It is a super-3 number, since 3×12211105018608³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108940566 + ... + 109052597.

It is an arithmetic number, because the mean of its divisors is an integer number (571033093098).

Almost surely, 2^{12211105018608} is an apocalyptic number.

12211105018608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12211105018608 is an abundant number, since it is smaller than the sum of its proper divisors (22050880567272).

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

12211105018608 is a wasteful number, since it uses less digits than its factorization.

12211105018608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217993566 (or 217993557 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 36.

Adding to 12211105018608 its reverse (80681050111221), we get a palindrome (92892155129829).

The spelling of 12211105018608 in words is "twelve trillion, two hundred eleven billion, one hundred five million, eighteen thousand, six hundred eight".