  The fusion cross sections for the reactions of all the projectile-target
combinations found in the cold valleys of $^{286}$112 have been studied using
scattering potential as the sum of Coulomb and proximity potential, so as to
predict the most probable projectile-target combinations in heavy ion fusion
reactions for the synthesis of super heavy nucleus $^{286}$112. While
considering the nature of potential pockets and half lives of the colliding
nuclei, the systems $^{82}$Ge + $^{204}$Hg, $^{80}$Ge + $^{206}$Hg and
$^{78}$Zn + $^{208}$Pb found in the deep cold valley region and the systems
$^{48}$Ca+$^{238}$U, $^{38}$S+$^{248}$Cm and $^{44}$Ar+$^{242}$Pu in the cold
valleys are predicted to be the better optimal projectile-target combinations
for the synthesis of super heavy nucleus $^{286}$112.
