  The ground state properties of Z = 125 and 126 nuclei are investigated,
taking the isotopic series from the proton to neutron drip-lines. This analysis
is conducted using the relativistic mean-field approach with NL3 and the
Relativistic-Hartree-Bogoliubov model with DD-ME2 parameterization. The bulk
properties under examination include the binding energy, the neutron separation
energies, the differential variation of the separation energy, the quadrupole
deformation parameter $\beta_2$, and the single-particle energy. We observed
the stability at N = 172 and 184 over the isotopic chain for both parameter
sets. The quadrupole deformation parameter reveals a shape transition from
prolate to spherical and back to prolate with mass number. No signature of a
super- and/or hyper-deformed structure is found over the isotopic chain.
Furthermore, the analysis is extended to examine the bubble structure,
revealing a bubble/semi-bubble structure for a few neutron-rich isotopes.
