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122232220141 is a prime number
BaseRepresentation
bin111000111010110011…
…0111010100111101101
3102200111120111010212111
41301311212322213231
54000312422021031
6132052552404021
711555012504563
oct1616546724755
9380446433774
10122232220141
11479249a1159
121b8333a6611
13b6ac7ba3a5
145cb79ada33
1532a5e391b1
hex1c759ba9ed

122232220141 has 2 divisors, whose sum is σ = 122232220142. Its totient is φ = 122232220140.

The previous prime is 122232220139. The next prime is 122232220171. The reversal of 122232220141 is 141022232221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87959103241 + 34273116900 = 296579^2 + 185130^2 .

It is a cyclic number.

It is not a de Polignac number, because 122232220141 - 21 = 122232220139 is a prime.

Together with 122232220139, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122232220171) 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, 61116110070 + 61116110071.

It is an arithmetic number, because the mean of its divisors is an integer number (61116110071).

Almost surely, 2122232220141 is an apocalyptic number.

It is an amenable number.

122232220141 is a deficient number, since it is larger than the sum of its proper divisors (1).

122232220141 is an equidigital number, since it uses as much as digits as its factorization.

122232220141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 122232220141 its reverse (141022232221), we get a palindrome (263254452362).

The spelling of 122232220141 in words is "one hundred twenty-two billion, two hundred thirty-two million, two hundred twenty thousand, one hundred forty-one".