All the gummy machines at a candy factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.

How many hours would it take to finish the order if the number of working machines increased by a factor of 2?

If six machines working simultaneously can complete a big order in 22 hours, then each machine takes 6*22=<<6*22=132>>132 hours to complete the order when working alone.

If the number of working machines increased by a factor of 2, there would be 6*2=<<6*2=12>>12 machines.
If 12 machines were working simultaneously, they would complete the order in 132/12=<<132/12=11>>11 hours. Answer: \boxed{11}.