122416001 has 2 divisors, whose sum is σ = 122416002. Its totient is φ = 122416000.

The previous prime is 122415991. The next prime is 122416003. The reversal of 122416001 is 100614221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113976976 + 8439025 = 10676^2 + 2905^2 .

It is a cyclic number.

It is not a de Polignac number, because 122416001 - 2¹⁴ = 122399617 is a prime.

Together with 122416003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122416003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61208000 + 61208001.

It is an arithmetic number, because the mean of its divisors is an integer number (61208001).

Almost surely, 2^122416001 is an apocalyptic number.

It is an amenable number.

122416001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122416001 is an equidigital number, since it uses as much as digits as its factorization.

122416001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 122416001 is about 11064.1764718392. The cubic root of 122416001 is about 496.5306509117.

The spelling of 122416001 in words is "one hundred twenty-two million, four hundred sixteen thousand, one".