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