We investigate various ground state characteristics of Z = 124 super-heavy nuclei in the region 296 ⩽ A ⩽322 using the relativistic mean field (RMF) formalism with NL3∗ parametrization. First, the calculation was carried out for the binding energy per nucleon, root-mean-square charge (rms) radii, quadrupole deformation parameter, two-neutron separation energies and other observables.The outcomes are comparable to the macro–microscopic predictions made by the Finite Range Droplet Model (FRDM) and the Weizsȧcker-Skyrme (WS) mass model. The binding energies of the parent and daughter nuclei are used to estimate the α-decay energies. Then, the Viola-Seaborg (VSS) formula and the universal decay law (UDL) have been used to explore the α-decay half-lives of two isotopes 124304,305, and the comparison is made with FRDM and WS predictions. The maximum half-lives of 124292,297 isotopes indicate the signature of shell closure.