Spontaneous fission and alpha-decay half-lives of even-even superheavy nucl
ei 112 less than or equal to Z less than or equal to 120 are calculated on
the basis of the deformed Woods-Saxon potential in WKB approximation by the
multi-dimensional dynamical programing method in space of parameters descr
ibing the shape of nuclei {beta(2),beta(4),beta(6)} and the pairing degrees
of freedom {Delta(p),Delta(n)}. The direct comparisons of the spontaneous
fission and alpha-decay half-lives calculated by the Viola-Seaborg formula
establish the regions of dominance of the spontaneous fission and the alpha
mode of desintegration.