12122112002009 has 2 divisors, whose sum is σ = 12122112002010. Its totient is φ = 12122112002008.

The previous prime is 12122112002003. The next prime is 12122112002041. The reversal of 12122112002009 is 90020021122121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6592841928409 + 5529270073600 = 2567653^2 + 2351440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12122112002009 is a prime.

It is not a weakly prime, because it can be changed into another prime (12122112002003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061056001004 + 6061056001005.

It is an arithmetic number, because the mean of its divisors is an integer number (6061056001005).

Almost surely, 2^{12122112002009} is an apocalyptic number.

It is an amenable number.

12122112002009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122112002009 is an equidigital number, since it uses as much as digits as its factorization.

12122112002009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 12122112002009 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, two thousand, nine".