Some of the nation’s largest corporations have amassed vast profits outside the country and are pressing Congress and the Obama administration for a tax break to bring the money home.

Apple has $12 billion waiting offshore, Google has $17 billion and Microsoft, $29 billion.

Under the proposal, known as a repatriation holiday, the federal income tax owed on such profits returned to the United States would fall to 5.25 percent for one year, from 35 percent. In the short term, the measure could generate tens of billions in tax revenues as companies transfer money that would otherwise remain abroad, and it could help ease the huge budget deficit.

Corporations and their lobbyists say the tax break could resuscitate the gasping recovery by inducing multinational corporations to inject $1 trillion or more into the economy, and they promoted the proposal as “the next stimulus” at a conference last Wednesday in Washington.

“For every billion dollars that we invest, that creates 15,000 to 20,000 jobs either directly or indirectly,” Jim Rogers, the chief of Duke Energy, said at the conference. Duke has $1.3 billion in profits overseas.