2012112212177 has 2 divisors, whose sum is σ = 2012112212178. Its totient is φ = 2012112212176.

The previous prime is 2012112212171. The next prime is 2012112212381. The reversal of 2012112212177 is 7712122112102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2006404258576 + 5707953601 = 1416476^2 + 75551^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012112212177 - 2²⁴ = 2012095434961 is a prime.

It is not a weakly prime, because it can be changed into another prime (2012112212171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006056106088 + 1006056106089.

It is an arithmetic number, because the mean of its divisors is an integer number (1006056106089).

Almost surely, 2^{2012112212177} is an apocalyptic number.

It is an amenable number.

2012112212177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012112212177 is an equidigital number, since it uses as much as digits as its factorization.

2012112212177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1568, while the sum is 29.

Adding to 2012112212177 its reverse (7712122112102), we get a palindrome (9724234324279).

The spelling of 2012112212177 in words is "two trillion, twelve billion, one hundred twelve million, two hundred twelve thousand, one hundred seventy-seven".