In this paper, properties of the low and the high spin states in 112Sb have been studied in the framework of Interacting Boson Fermion Fermion Model. A surface delta plus spin-spin type of interaction has been taken as the residual interaction between the odd neutron and the odd proton. Energy values, magnetic moments of the ground state and the isomeric 8- state, E2/M1 mixing ratios of some of the low-lying transitions and logft values for the Gamow-Teller transitions in 112Sb → 112Sn and 111Sb → 111Sn decay have been calculated and are compared with the experimental results. The band based on the configuration πg9/2-1πg7/2 2⊗νh11/2 is obtained in this calculation by coupling the proton in the g9/2 and the neutron in the h11/2 orbital to the deformed band of 110Sn. The B(M1)/B(E2) ratios and branching ratios for the transitions in this band have also been calculated and compared with the experimental results.