Search a number
-
+
122345609 is a prime number
BaseRepresentation
bin1110100101011…
…01100010001001
322112012210121212
413102231202021
5222310024414
620050142505
73013630511
oct722554211
9275183555
10122345609
1163074081
1234b81a35
131c468769
141236a841
15ab1a83e
hex74ad889

122345609 has 2 divisors, whose sum is σ = 122345610. Its totient is φ = 122345608.

The previous prime is 122345581. The next prime is 122345611. The reversal of 122345609 is 906543221.

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., 67289209 + 55056400 = 8203^2 + 7420^2 .

It is an emirp because it is prime and its reverse (906543221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122345609 is a prime.

It is a Sophie Germain prime.

Together with 122345611, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122345669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61172804 + 61172805.

It is an arithmetic number, because the mean of its divisors is an integer number (61172805).

Almost surely, 2122345609 is an apocalyptic number.

It is an amenable number.

122345609 is a deficient number, since it is larger than the sum of its proper divisors (1).

122345609 is an equidigital number, since it uses as much as digits as its factorization.

122345609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 122345609 is about 11060.9949371655. The cubic root of 122345609 is about 496.4354605041.

The spelling of 122345609 in words is "one hundred twenty-two million, three hundred forty-five thousand, six hundred nine".