3122112112181 has 2 divisors, whose sum is σ = 3122112112182. Its totient is φ = 3122112112180.

The previous prime is 3122112112127. The next prime is 3122112112193. The reversal of 3122112112181 is 1812112112213.

3122112112181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1612061908900 + 1510050203281 = 1269670^2 + 1228841^2 .

It is a cyclic number.

It is not a de Polignac number, because 3122112112181 - 2¹⁴ = 3122112095797 is a prime.

It is a super-2 number, since 2×3122112112181² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3122112112181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3122112112081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561056056090 + 1561056056091.

It is an arithmetic number, because the mean of its divisors is an integer number (1561056056091).

Almost surely, 2^{3122112112181} is an apocalyptic number.

It is an amenable number.

3122112112181 is a deficient number, since it is larger than the sum of its proper divisors (1).

3122112112181 is an equidigital number, since it uses as much as digits as its factorization.

3122112112181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 384, while the sum is 26.

Adding to 3122112112181 its reverse (1812112112213), we get a palindrome (4934224224394).

The spelling of 3122112112181 in words is "three trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twelve thousand, one hundred eighty-one".