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122120506393 is a prime number
BaseRepresentation
bin111000110111011110…
…0110000110000011001
3102200012210021111102021
41301232330300300121
54000100322201033
6132033522134441
711552155114534
oct1615674606031
9380183244367
10122120506393
1147877929a46
121b801ab1421
13b692604c92
145ca6c0da1b
15329b21db2d
hex1c6ef30c19

122120506393 has 2 divisors, whose sum is σ = 122120506394. Its totient is φ = 122120506392.

The previous prime is 122120506331. The next prime is 122120506397. The reversal of 122120506393 is 393605021221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120078189529 + 2042316864 = 346523^2 + 45192^2 .

It is an emirp because it is prime and its reverse (393605021221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122120506393 - 233 = 113530571801 is a prime.

It is not a weakly prime, because it can be changed into another prime (122120506397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060253196 + 61060253197.

It is an arithmetic number, because the mean of its divisors is an integer number (61060253197).

Almost surely, 2122120506393 is an apocalyptic number.

It is an amenable number.

122120506393 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120506393 is an equidigital number, since it uses as much as digits as its factorization.

122120506393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 122120506393 in words is "one hundred twenty-two billion, one hundred twenty million, five hundred six thousand, three hundred ninety-three".