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122232311233 is a prime number
BaseRepresentation
bin111000111010110011…
…1010000110111000001
3102200111120122202211021
41301311213100313001
54000312432424413
6132052554345441
711555013334264
oct1616547206701
9380446582737
10122232311233
1147924a5363a
121b83342b281
13b6ac81c9a6
145cb79d4cdb
1532a5e5618d
hex1c759d0dc1

122232311233 has 2 divisors, whose sum is σ = 122232311234. Its totient is φ = 122232311232.

The previous prime is 122232311191. The next prime is 122232311239. The reversal of 122232311233 is 332113232221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121729116609 + 503194624 = 348897^2 + 22432^2 .

It is an emirp because it is prime and its reverse (332113232221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122232311233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122232311198 and 122232311207.

It is not a weakly prime, because it can be changed into another prime (122232311239) 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, 61116155616 + 61116155617.

It is an arithmetic number, because the mean of its divisors is an integer number (61116155617).

Almost surely, 2122232311233 is an apocalyptic number.

It is an amenable number.

122232311233 is a deficient number, since it is larger than the sum of its proper divisors (1).

122232311233 is an equidigital number, since it uses as much as digits as its factorization.

122232311233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 25.

Adding to 122232311233 its reverse (332113232221), we get a palindrome (454345543454).

The spelling of 122232311233 in words is "one hundred twenty-two billion, two hundred thirty-two million, three hundred eleven thousand, two hundred thirty-three".