Ohio Rev. Code Ann. § 2929.32
(A)
(1) Subject to division (A)(2) of this section, notwithstanding the fines prescribed in section 2929.02 of the Revised Code for a person who is convicted of or pleads guilty to aggravated murder or murder, the fines prescribed in section 2929.18 of the Revised Code for a person who is convicted of or pleads guilty to a felony, the fines prescribed in section 2929.28 of the Revised Code for a person who is convicted of or pleads guilty to a misdemeanor, the fines prescribed in section 2929.31 of the Revised Code for an organization that is convicted of or pleads guilty to an offense, and the fines prescribed in any other section of the Revised Code for a person who is convicted of or pleads guilty to an offense, a sentencing court may impose upon the offender a fine of not more than one million dollars if any of the following applies to the offense and the offender:
(C)
(1) Subject to division (C)(2) of this section, notwithstanding any contrary provision of any section of the Revised Code, if a sentencing court imposes a fine upon an offender pursuant to division (A)(1) of this section or pursuant to another section of the Revised Code, the fine shall be a judgment against the offender in favor of the state, and both of the following apply to that judgment: