122416361 has 2 divisors, whose sum is σ = 122416362. Its totient is φ = 122416360.

The previous prime is 122416351. The next prime is 122416363. The reversal of 122416361 is 163614221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109599961 + 12816400 = 10469^2 + 3580^2 .

It is an emirp because it is prime and its reverse (163614221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122416361 - 2²² = 118222057 is a prime.

Together with 122416363, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122416361.

It is not a weakly prime, because it can be changed into another prime (122416363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61208180 + 61208181.

It is an arithmetic number, because the mean of its divisors is an integer number (61208181).

Almost surely, 2^122416361 is an apocalyptic number.

It is an amenable number.

122416361 is a deficient number, since it is larger than the sum of its proper divisors (1).

122416361 is an equidigital number, since it uses as much as digits as its factorization.

122416361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 26.

The square root of 122416361 is about 11064.1927405482. The cubic root of 122416361 is about 496.5311376423.

The spelling of 122416361 in words is "one hundred twenty-two million, four hundred sixteen thousand, three hundred sixty-one".