122416121 has 2 divisors, whose sum is σ = 122416122. Its totient is φ = 122416120.

The previous prime is 122416093. The next prime is 122416127. The reversal of 122416121 is 121614221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79905721 + 42510400 = 8939^2 + 6520^2 .

It is an emirp because it is prime and its reverse (121614221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122416121 - 2⁶ = 122416057 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122416093 and 122416102.

It is not a weakly prime, because it can be changed into another prime (122416127) 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, 61208060 + 61208061.

It is an arithmetic number, because the mean of its divisors is an integer number (61208061).

Almost surely, 2^122416121 is an apocalyptic number.

It is an amenable number.

122416121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122416121 is an equidigital number, since it uses as much as digits as its factorization.

122416121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 20.

The square root of 122416121 is about 11064.1818947449. The cubic root of 122416121 is about 496.5308131553.

It can be divided in two parts, 12241 and 6121, that multiplied together give a triangular number (74927161 = T₁₂₂₄₁).

The spelling of 122416121 in words is "one hundred twenty-two million, four hundred sixteen thousand, one hundred twenty-one".