12161 has 2 divisors, whose sum is σ = 12162. Its totient is φ = 12160.

The previous prime is 12157. The next prime is 12163. The reversal of 12161 is 16121.

12161 is digitally balanced in base 2 and base 3, because in such bases 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., 9025 + 3136 = 95^2 + 56^2 .

It is a cyclic number.

It is not a de Polignac number, because 12161 - 2^{2} = 12157 is a prime.

Together with 12163, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6080 + 6081.

It is an arithmetic number, because the mean of its divisors is an integer number (6081).

It is a Proth number, since it is equal to 95 ⋅ 2^{7} + 1 and 95 < 2^{7}.

2^{12161} is an apocalyptic number.

It is an amenable number.

12161 is a deficient number, since it is larger than the sum of its proper divisors (1).

12161 is an equidigital number, since it uses as much as digits as its factorization.

12161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12, while the sum is 11.

The square root of 12161 is about 110.2769241501. The cubic root of 12161 is about 22.9962186600.

Adding to 12161 its reverse (16121), we get a palindrome (28282).

It can be divided in two parts, 121 and 61, that multiplied together give a triangular number (7381 = T_{121}).

The spelling of 12161 in words is "twelve thousand, one hundred sixty-one".

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