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Abstract In nuclear theory, there is always a quest for possible extensions of the nuclear landscape and extending our knowledge to the limits of nuclear existence. In this thesis, we examine the stability and structural properties of a wide range of nuclei in super- and ultra-heavy region in a phenomenological semi-microscopic approach. we calculated the shell correlation energy, residual pairing correction energy, twonucleons separation energy and two-nucleons energy gap for 3670 even-even nuclei in two regions, along Ý-stability line and and along the two-neutrons drip line in the ranges 70 6 Z 6 274 with 80 6 N 6 548 and 70 6 Z 6 212 with 126 6 N 6 548, respectively. To assure reliability and confidence of the new results in the ultraheavy nuclei, we extended the search space to include heavy and super-heavy nuclei. We report 83 double magic nuclei and address the predominance of proton and neutron magic numbers. Evidently, both proton and neutron magic numbers are not static along the nuclear landscape. Shifts in nuclear magicity appear along the nuclear landscape between the Ý-stability line and the neutron rich regions. Our calculations reproduced known results on nuclear magicity and present strong evidences on islands of stability and nuclear magicity in super-and ultra-heavy regions |