122188321 has 2 divisors, whose sum is σ = 122188322. Its totient is φ = 122188320.

The previous prime is 122188303. The next prime is 122188331. The reversal of 122188321 is 123881221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113188321 + 9000000 = 10639^2 + 3000^2 .

It is a cyclic number.

It is not a de Polignac number, because 122188321 - 2⁵ = 122188289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122188321.

It is not a weakly prime, because it can be changed into another prime (122188331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61094160 + 61094161.

It is an arithmetic number, because the mean of its divisors is an integer number (61094161).

Almost surely, 2^122188321 is an apocalyptic number.

It is an amenable number.

122188321 is a deficient number, since it is larger than the sum of its proper divisors (1).

122188321 is an equidigital number, since it uses as much as digits as its factorization.

122188321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1536, while the sum is 28.

The square root of 122188321 is about 11053.8826210522. The cubic root of 122188321 is about 496.2226294738. Note that the first 3 decimals are identical.

The spelling of 122188321 in words is "one hundred twenty-two million, one hundred eighty-eight thousand, three hundred twenty-one".