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122122120123 is a prime number
BaseRepresentation
bin111000110111100001…
…0111010101110111011
3102200012220022111001001
41301233002322232323
54000101230320443
6132034020505431
711552204615353
oct1615702725673
9380186274031
10122122120123
1147878831403
121b80254b277
13b692a4b653
145ca710db63
15329b43bd4d
hex1c6f0babbb

122122120123 has 2 divisors, whose sum is σ = 122122120124. Its totient is φ = 122122120122.

The previous prime is 122122120111. The next prime is 122122120147. The reversal of 122122120123 is 321021221221.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122122120123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122122120123.

It is not a weakly prime, because it can be changed into another prime (122122120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061060061 + 61061060062.

It is an arithmetic number, because the mean of its divisors is an integer number (61061060062).

Almost surely, 2122122120123 is an apocalyptic number.

122122120123 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122120123 is an equidigital number, since it uses as much as digits as its factorization.

122122120123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 122122120123 its reverse (321021221221), we get a palindrome (443143341344).

The spelling of 122122120123 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty-three".