22017112120161 has 96 divisors (see below), whose sum is σ = 34144240665600. Its totient is φ = 14007240023040.

The previous prime is 22017112120141. The next prime is 22017112120163. The reversal of 22017112120161 is 16102121171022.

22017112120161 is a `hidden beast` number, since 220 + 1 + 71 + 1 + 212 + 0 + 161 = 666.

It is not a de Polignac number, because 22017112120161 - 2²⁷ = 22016977902433 is a prime.

It is a super-2 number, since 2×22017112120161² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22017112120163) 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 95 ways as a sum of consecutive naturals, for example, 2579017885 + ... + 2579026421.

It is an arithmetic number, because the mean of its divisors is an integer number (355669173600).

Almost surely, 2^{22017112120161} is an apocalyptic number.

It is an amenable number.

22017112120161 is a deficient number, since it is larger than the sum of its proper divisors (12127128545439).

22017112120161 is an equidigital number, since it uses as much as digits as its factorization.

22017112120161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9144 (or 9049 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 22017112120161 its reverse (16102121171022), we get a palindrome (38119233291183).

The spelling of 22017112120161 in words is "twenty-two trillion, seventeen billion, one hundred twelve million, one hundred twenty thousand, one hundred sixty-one".