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122122112111 is a prime number
BaseRepresentation
bin111000110111100001…
…0111000110001101111
3102200012220022002001022
41301233002320301233
54000101230041421
6132034020404355
711552204553116
oct1615702706157
9380186262038
10122122112111
114787882638a
121b8025466bb
13b692a47acc
145ca710ac7d
15329b4397ab
hex1c6f0b8c6f

122122112111 has 2 divisors, whose sum is σ = 122122112112. Its totient is φ = 122122112110.

The previous prime is 122122112093. The next prime is 122122112183. The reversal of 122122112111 is 111211221221.

It is a weak prime.

It is an emirp because it is prime and its reverse (111211221221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122122112111 is a prime.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122122112111.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122122112011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061056055 + 61061056056.

It is an arithmetic number, because the mean of its divisors is an integer number (61061056056).

Almost surely, 2122122112111 is an apocalyptic number.

122122112111 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122112111 is an equidigital number, since it uses as much as digits as its factorization.

122122112111 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32, while the sum is 17.

Adding to 122122112111 its reverse (111211221221), we get a palindrome (233333333332).

The spelling of 122122112111 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred eleven".