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We study the nuclear properties of even-even superheavy $Z$=120 isotopes and$N$=184 isotones with the Skyrme Hartree-Fock-Bogoliubov (HFB)approach. Withinthis model we examine the deformation energy surfaces and two paths to fission:a reflection-symmetric path with elongated fission fragments (sEF) and areflection-asymmetric path corresponding to elongated fission fragments (aEF).Furthermore, we explore the energy surfaces in the region of very large oblatedeformations with toroidal nuclear density distributions. While the energysurfaces of toroidal $Z$=120 isotopes and $N$=184 isotones do not possessenergy minima without angular momenta,local energy minima (toroidal high spinisomeric states) appear for many of these superheavy nuclei with specificangular momenta about the symmetry axis. We have theoretically located thetoroidal high spin isomers (THSIs) of $^{302}$Og$_{184}$,$^{302}120_{182}$,$^{306}120_{186}$, and $^{306}122_{184}$.

Properties of superheavy isotopes Z=120 and isotones N=184 within the Skyrme-HFB model