122081681 has 2 divisors, whose sum is σ = 122081682. Its totient is φ = 122081680.

The previous prime is 122081657. The next prime is 122081699. The reversal of 122081681 is 186180221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121198081 + 883600 = 11009^2 + 940^2 .

It is a cyclic number.

It is not a de Polignac number, because 122081681 - 2²² = 117887377 is a prime.

It is a super-2 number, since 2×122081681² = 29807873671571522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122081081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61040840 + 61040841.

It is an arithmetic number, because the mean of its divisors is an integer number (61040841).

Almost surely, 2^122081681 is an apocalyptic number.

It is an amenable number.

122081681 is a deficient number, since it is larger than the sum of its proper divisors (1).

122081681 is an equidigital number, since it uses as much as digits as its factorization.

122081681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 122081681 is about 11049.0579236422. The cubic root of 122081681 is about 496.0782278301.

The spelling of 122081681 in words is "one hundred twenty-two million, eighty-one thousand, six hundred eighty-one".