122084029 has 2 divisors, whose sum is σ = 122084030. Its totient is φ = 122084028.

The previous prime is 122083999. The next prime is 122084041. The reversal of 122084029 is 920480221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119902500 + 2181529 = 10950^2 + 1477^2 .

It is an emirp because it is prime and its reverse (920480221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122084029 - 2⁷ = 122083901 is a prime.

It is a super-3 number, since 3×122084029³ (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122083988 and 122084006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122084129) 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, 61042014 + 61042015.

It is an arithmetic number, because the mean of its divisors is an integer number (61042015).

Almost surely, 2^122084029 is an apocalyptic number.

It is an amenable number.

122084029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122084029 is an equidigital number, since it uses as much as digits as its factorization.

122084029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 122084029 is about 11049.1641765339. The cubic root of 122084029 is about 496.0814081714.

The spelling of 122084029 in words is "one hundred twenty-two million, eighty-four thousand, twenty-nine".