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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
3 Months Ended 6 Months Ended
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2022
Jun. 30, 2021
Derivative Instruments Gain Loss [Line Items]        
Futures contracts, realized gain (loss) $ 880,614,273 $ 209,625,055 $ 1,001,799,752 $ 277,831,954
Futures contracts, unrealized gain (loss) (802,970,450) 120,921,792 (153,270,926) 230,890,131
Commodity Futures Contract [Member] | Not Designated as Hedging Instrument [Member]        
Derivative Instruments Gain Loss [Line Items]        
Futures contracts, realized gain (loss) 880,614,273 209,625,055 1,001,799,752 277,831,954
Futures contracts, unrealized gain (loss) (802,970,450) 120,921,792 (153,270,926) 230,890,131
Net Realized and Net Change in Unrealized Gain (Loss) $ 77,643,823 $ 330,546,847 $ 848,528,826 $ 508,722,085