Fujifilm X-T20 has a Fujifilm X lens mount and currently there are 43 native lenses available for this mount.
Fujifilm X-T20 doesn't have a sensor based image stabilization system but 9 of these lenses already comes with optical image stabilization.
Since Fujifilm X-T20 has a APS-C sensor, it has a focal length multiplier of 1.5x 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 X-T20.
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Fujifilm X-T20 Lenses with Image Stabilization
Fujifilm X-T20 Lenses with Weather Sealings