122112001241 has 2 divisors, whose sum is σ = 122112001242. Its totient is φ = 122112001240.

The previous prime is 122112001177. The next prime is 122112001259. The reversal of 122112001241 is 142100211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111586062025 + 10525939216 = 334045^2 + 102596^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112001241 - 2⁶ = 122112001177 is a prime.

It is a super-2 number, since 2×122112001241² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122112031241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056000620 + 61056000621.

It is an arithmetic number, because the mean of its divisors is an integer number (61056000621).

Almost surely, 2^122112001241 is an apocalyptic number.

It is an amenable number.

122112001241 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112001241 is an equidigital number, since it uses as much as digits as its factorization.

122112001241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122112001241 its reverse (142100211221), we get a palindrome (264212212462).

The spelling of 122112001241 in words is "one hundred twenty-two billion, one hundred twelve million, one thousand, two hundred forty-one".