From Duracell:
General Purpose & Alkaline Batteries
Alkaline batteries can be safely disposed of with normal household
waste.
It is important not to dispose of large amounts of alkaline
batteries in a group. Used batteries are often not completely
"dead." Grouping used batteries together can bring these "live"
batteries into contact with one another, creating safety
risks.
Proven cost-effective and environmentally safe recycling processes
are not yet universally available for alkaline batteries.
Lithium, Lithium Ion, Nickel Metal Hydride & Zinc Air
Batteries
These batteries may be safely disposed of in normal household
waste. Contact your local government for disposal or recycling
practices in your area.
Unsure for Lithium, Lithium Ion, Nickel Metal Hydride & Zinc
Air Batteries part. It doesn't sound correct to me.