  Present theoretical investigations aim to explore the fusion characteristics
of various isotopes of Z=120 within the relativistic mean-field (RMF)
formalism. We predict the most suitable projectile-target combination for the
synthesis of element Z=120. The microscopic nucleon-nucleon R3Y interaction and
the RMF density distributions for targets and projectiles are used to calculate
the nuclear interaction potential using the double folding approach. 17
different projectile-target combinations that allow a high $N$/$Z$ ratio are
considered in the present analysis to calculate the capture and/or fusion
cross-section of various isotopes of Z=120 within the $\ell-$summed Wong
formula. Further, the equivalent surface diffusion parameter is estimated to
correlate the surface properties interacting nuclei with the fusion
cross-section. The four Ti-based reactions with the heaviest available target
$^{x}$Cf, namely, $^{46}$Ti+$^{248}$Cf, $^{46}$Ti+$^{249}$Cf,
$^{50}$Ti+$^{249}$Cf, and $^{50}$Ti+$^{252}$Cf, and also $^{54}$Cr+$^{250}$Cm
are found to have the most suitable target-projectile combinations for the
synthesis of various isotopes Z=120. We also notice that $^{48}$Ca beams merely
provide the required number of protons to synthesize the element with Z=120. We
established a correlation among the surface properties of interacting nuclei
with the fusion characteristics in terms of the equivalent surface diffusion
parameter.
