  In a paper by Asaka, Ishida and Tanaka \cite{hiding}, they proposed a novel
possibility (which will be referred to as the AIT ansatz) that, in spite of the
Majorana nature of neutrinos, the neutrinoless double beta ($0\nu \beta\beta$)
decay can be hidden. In the original AIT model, the AIT ansatz is realized in
the minimal seesaw model with two right-handed neutrinos which have a
hierarchical mass structure: the lighter and heavier right-handed neutrinos are
respectively much lighter and heavier than the typical Fermi-momentum scale of
nuclei. However, the original AIT model does not accommodate a successful
leptogenesis. For this problem, in this paper we study a split seesaw model
with one lighter right-handed neutrino but two heavier right-handed neutrinos
which can realize the AIT ansatz and accommodate a successful leptogenesis
simultaneously. We first give the condition on the neutrino Yukawa couplings
for realizing the AIT ansatz, discuss its realization by employing an Abelian
flavor symmetry, and study its implications for the mixing of the lighter
right-handed neutrino with three left-handed neutrinos. We then successively
study the implications for leptogenesis of the interesting scenarios where
$M^{}_{\rm D}$ is a triangular matrix (which has maximally-restricted texture
zeros, in line with the simplicity principle) or respects the $\mu$-$\tau$
reflection symmetry (which is well motivated by the experimental results), on
top of the AIT ansatz.
