Pros
Generally great people. Good benefits. Opportunities to move around a lot if you are open to relocate. Great discounts on lots of different products (cars, appliances, etc.) because BASF supplies everyone with everything.
Cons
Risk averse. Slow moving. Follows the market rather than leads. Developments are led by chemists which frequently benchmark new product developments against BASF products, rather than the market leaders. If you are selected as a "high potential", you can walk on water, regardless of the poor quality of your work or lack of respect for and by your coworkers. European organization often pushes for launch of products in other markets that don't fit the market needs all in the name of "globalization". Very evident "diversification: efforts for new hires, leading to unqualified people being hired because of their gender or ethnicity.