Currently, the cheapest month to rent a car at Ulsan Airport is September. The most expensive time to rent a car is January. The cheapest prices for each month are shown above, but prices will vary based on availability, how far out you book your rental car, and of course, car type.
The length of time you can book a car hire for is subject to the inventory of the supplier. When renting a vehicle from Ulsan Airport it should be possible to hire a car for a whole month if needed.