TRMM Microwave Imager Precipitation Profile L3 1 month 0.5 degree x 0.5 degree V7 (TRMM_3A12) at GES DISC
The new equivalent for this dataset should be searched for as "GPM_3GPROFTRMMTMI_CLIM".

This product contains global monthly means of surface precipitation rate, rain rate, convective surface precipitation rate and 28 vertical layers of hydrometeor contents (cloud liquid water, rain water, cloud ice liquid water, …