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We present the transmission spectrum of HAT-P-12b through a joint analysis ofdata obtained from the Hubble Space Telescope Space Telescope ImagingSpectrograph (STIS) and Wide Field Camera 3 (WFC3) and Spitzer, covering thewavelength range 0.3-5.0 $\mu$m. We detect a muted water vapor absorptionfeature at 1.4 $\mu$m attenuated by clouds, as well as a Rayleigh scatteringslope in the optical indicative of small particles. We interpret thetransmission spectrum using both the state-of-the-art atmospheric retrievalcode SCARLET and the aerosol microphysics model CARMA. These models indicatethat the atmosphere of HAT-P-12b is consistent with a broad range ofmetallicities between several tens to a few hundred times solar, a roughlysolar C/O ratio, and moderately efficient vertical mixing. Cloud models thatinclude condensate clouds do not readily generate the sub-micron particlesnecessary to reproduce the observed Rayleigh scattering slope, while modelsthat incorporate photochemical hazes composed of soot or tholins are able tomatch the full transmission spectrum. From a complementary analysis ofsecondary eclipses by Spitzer, we obtain measured depths of $0.042\%\pm0.013\%$and $0.045\%\pm0.018\%$ at 3.6 and 4.5 $\mu$m, respectively, which areconsistent with a blackbody temperature of $890^{+60}_{-70}$ K and indicateefficient day-night heat recirculation. HAT-P-12b joins the growing number ofwell-characterized warm planets that underscore the importance of clouds andhazes in our understanding of exoplanet atmospheres.

Optical to near-infrared transmission spectrum of the warm sub-Saturn HAT-P-12b