PNC-27, a synthetic peptide, is derived from the TP53-HDM2 binding domain that include TP53 amino acids 12-26 linked with 17 amino acids from the antennapedia protein transference domain. This peptide induces membrane rupture in tumor cells through toroidal pores formation and has motivated several experimental studies; nonetheless, its mechanism of biological action remains unknown to date. Herein, we present a theoretical study at the Hartree-Fock and density functional theory (B3LYP) levels of theory of TP53 protein residues 12-26 (PPLSQETFSDLWKLL) in order to characterize its electronic structure and physicochemical properties. Our results for atomic and group charges, fitted to the electrostatic potential (ESP) show important reactive sites (L14, S15, T18, S20, L25, and L26), suggesting that these amino acids are exposed to nucleophilic and electrophilic attacks. Analysis of bond orders, intramolecular interactions and of several global reactivity descriptors, such as ionization potentials, hardness, electrophilicity index, dipole moments, total energies, frontier molecular orbitals (HOMO-LUMO), and electrostatic potential, led us to characterize active sites and the electronic structure and physiochemical features that taken together may be important in understanding the specific selectivity for this peptides type's cancer-cell membrane lysis properties.