Olympus E-M1X has a Micro Four Thirds lens mount and currently there are 119 native lenses available for this mount.
E-M1X also has a sensor based image stabilization system which means that all of these lenses will be stabilized when used on E-M1X.
Since Olympus E-M1X has a Four Thirds sensor, it has a focal length multiplier of 2x 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 E-M1X.
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Olympus E-M1X Lenses with Image Stabilization
Olympus E-M1X Lenses with Weather Sealings