Bhāgavata-Māhātmya and the Complete Summary of the Śrīmad-Bhāgavatam
द्वादश्यामेकादश्यां वा शृण्वन्नायुष्यवान्भवेत् । पठत्यनश्नन् प्रयतस्पूतो भवति पातकात् ॥ ६० ॥
dvādaśyām ekādaśyāṁ vā śṛṇvann āyuṣyavān bhavet paṭhaty anaśnan prayataḥ pūto bhavati pātakāt
Wer dieses Bhāgavatam am Ekādaśī- oder Dvādaśī-Tag hört, dem ist langes Leben gewiss; und wer es achtsam rezitiert, während er fastet, wird von allen sündhaften Reaktionen gereinigt.
This verse states that hearing Śrīmad-Bhāgavatam on Dvādaśī—or even Ekādaśī—bestows long life and auspiciousness.
Sūta Gosvāmī teaches that disciplined recitation of the Bhāgavatam while fasting purifies one from sinful reactions.
Set aside Ekādaśī/Dvādaśī for focused Bhāgavatam hearing/reading, reduce distractions (and optionally fast as health allows), and approach the text with self-discipline and sincerity.