The ISS is designed to handle a crew of seven. Current escape vehicle capacity limits the crew to six. During a direct handover, that crew size can climb to nine. That is only for short periods of time.
A Soyuz capsule holds three people. That means the crew is 3x the number of docked Soyuz. There are enough ports to support there being four Soyuz docked, but that does not mean the ISS can support 12 crew members.
The limiting factors are defined by the ECLSS (Environmental Control and Life Support System). Putting twelve people onboard would overstress the equipment that removes carbon dioxide. It would overstress the hygiene equipment. It would overtax the water recycling system.
At this point, a few of you might be thinking - "but wait, I remember seeing more people than that on the ISS!"
Yes, you did. During a few of the Space Shuttle missions the number of people reached 13. Seven of those people were the crew of the Orbiter. They used Orbiter ECLSS and hygiene equipment.