Canon 1200D has a Canon EF/EF-S lens mount and currently there are 290 native lenses available for this mount.
Canon 1200D doesn't have a sensor based image stabilization system but 91 of these lenses already comes with optical image stabilization.
Since Canon 1200D has a APS-C sensor, it has a focal length multiplier of 1.6x so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on 1200D.
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Canon 1200D Lenses with Image Stabilization
Canon 1200D Lenses with Weather Sealings