Search a number
-
+
12112211022017 is a prime number
BaseRepresentation
bin1011000001000001100000…
…0010010001000011000001
31120212220201210220122011212
42300100120002101003001
53041421302010201032
641432134541415505
72360035610656211
oct260203002210301
946786653818155
1012112211022017
11394a83a3a2537
121437516b6a595
1369b23aca9c32
142dc33c6ac241
151600ee1b0bb2
hexb04180910c1

12112211022017 has 2 divisors, whose sum is σ = 12112211022018. Its totient is φ = 12112211022016.

The previous prime is 12112211022007. The next prime is 12112211022139. The reversal of 12112211022017 is 71022011221121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8235344533441 + 3876866488576 = 2869729^2 + 1968976^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112211022017 - 210 = 12112211020993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12112211021983 and 12112211022001.

It is not a weakly prime, because it can be changed into another prime (12112211022007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6056105511008 + 6056105511009.

It is an arithmetic number, because the mean of its divisors is an integer number (6056105511009).

Almost surely, 212112211022017 is an apocalyptic number.

It is an amenable number.

12112211022017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112211022017 is an equidigital number, since it uses as much as digits as its factorization.

12112211022017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 12112211022017 its reverse (71022011221121), we get a palindrome (83134222243138).

The spelling of 12112211022017 in words is "twelve trillion, one hundred twelve billion, two hundred eleven million, twenty-two thousand, seventeen".