12221165613105 has 48 divisors (see below), whose sum is σ = 22298647176000. Its totient is φ = 6174799475328.

The previous prime is 12221165613077. The next prime is 12221165613131. The reversal of 12221165613105 is 50131656112221.

12221165613105 is a `hidden beast` number, since 1 + 2 + 2 + 21 + 1 + 6 + 5 + 613 + 10 + 5 = 666.

It is not a de Polignac number, because 12221165613105 - 2⁵ = 12221165613073 is a prime.

It is a super-2 number, since 2×12221165613105² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12221165613105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84084186 + ... + 84229404.

It is an arithmetic number, because the mean of its divisors is an integer number (464555149500).

Almost surely, 2^{12221165613105} is an apocalyptic number.

12221165613105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12221165613105 is a deficient number, since it is larger than the sum of its proper divisors (10077481562895).

12221165613105 is a wasteful number, since it uses less digits than its factorization.

12221165613105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243678 (or 243675 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 12221165613105 in words is "twelve trillion, two hundred twenty-one billion, one hundred sixty-five million, six hundred thirteen thousand, one hundred five".