Semi-finished product comprising a single-strand cord rubberized in situ embedded in a calendering rubber composition, the cord comprising: - an internal layer of the cord comprising N1 internal thread(s), - an external layer of the cord comprising N3 external threads wound helically around the internal layer of the cord, - a rubberizing rubber composition positioned between the internal layer of the cord and the external layer of the cord, characterized in that: each rubberizing and calendering rubber composition comprises at least one corrosion inhibitor, the content of the corrosion inhibitor or inhibitors of the calendering rubber composition is different from the content of the corrosion inhibitor or inhibitors of the rubberizing rubber composition, the corrosion inhibitor of the calendering rubber composition and/or of the rubberizing rubber composition is chosen among: a compound of formula or a salt of this compound: in which: - each R1, R2 and R3 group represents, independently of one another, an alkylene, arylene, arylalkylene, alkylarylene or cycloalkylene group, - each X 1 and X 2 group represents, independently of each other, -COOH, -CO-NH-OH, -SOOH, -PO (R') or -PO (OR') with R and R' representing, independently of each other, a hydrogen or an alkyl group, and X 3 comprises at least one -COOH, -CO-NH-OH, -SOOH, -PO (R') or -PO (OR') group with R and R' representing, independently of each other, hydrogen or an alkyl group, a compound of formula or or a salt of this compound: in which each R1, R2, R3 and R4 group represents, independently of one another, an -OH, -O-Alkyl or -O O-Alkyl group; a compound of formula: in which X and Y represent, independently of each other, an alkali metal or alkaline earth metal cation; and the mixture of these compounds. - an internal layer of the cord comprising N1 internal thread(s), - an external layer of the cord comprising N3 external threads wound helically around the internal layer of the cord, - a rubberizing rubber composition positioned between the internal layer of the cord and the external layer of the cord, each rubberizing and calendering rubber composition comprises at least one corrosion inhibitor, the content of the corrosion inhibitor or inhibitors of the calendering rubber composition is different from the content of the corrosion inhibitor or inhibitors of the rubberizing rubber composition, the corrosion inhibitor of the calendering rubber composition and/or of the rubberizing rubber composition is chosen among: a compound of formula or a salt of this compound: in which: - each R1, R2 and R3 group represents, independently of one another, an alkylene, arylene, arylalkylene, alkylarylene or cycloalkylene group, - each X 1 and X 2 group represents, independently of each other, -COOH, -CO-NH-OH, -SOOH, -PO (R') or -PO (OR') with R and R' representing, independently of each other, a hydrogen or an alkyl group, and X 3 comprises at least one -COOH, -CO-NH-OH, -SOOH, -PO (R') or -PO (OR') group with R and R' representing, independently of each other, hydrogen or an alkyl group, a compound of formula or or a salt of this compound: in which each R1, R2, R3 and R4 group represents, independently of one another, an -OH, -O-Alkyl or -O O-Alkyl group; a compound of formula: in which X and Y represent, independently of each other, an alkali metal or alkaline earth metal cation; and the mixture of these compounds. - each R1, R2 and R3 group represents, independently of one another, an alkylene, arylene, arylalkylene, alkylarylene or cycloalkylene group, - each X 1 and X 2 group represents, independently of each other, -COOH, -CO-NH-OH, -SOOH, -PO (R') or -PO (OR') with R and R' representing, independently of each other, a hydrogen or an alkyl group, and