Neutron-rich 120–124In isotopes have been studied utilizing the double Penning trap mass spectrometer JYFLTRAP at the IGISOL facility. Using the phase-imaging ion-cyclotron-resonance technique, the isomeric states were resolved from ground states and their excitation energies measured with high precision in 121,123,124In. In 120,122In, the 1+ states were separated and their masses were measured while the energy difference between the unresolved 5+ and 8− states, whose presence was confirmed by post-trap decay spectroscopy, was determined to be ≤15 keV. In addition, the half-life of 122Cd, T1/2 = 5.98(10) s, was extracted. Experimental results were compared with energy density functionals, density functional theory, and shell-model calculations.