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12112220261 is a prime number
BaseRepresentation
bin10110100011111000…
…11101000001100101
31011021010021112121102
423101330131001211
5144301212022021
65321514525445
7606103113341
oct132174350145
934233245542
1012112220261
11515603a399
122420436885
1311b049664b
1482c8b0621
154ad53b00b
hex2d1f1d065

12112220261 has 2 divisors, whose sum is σ = 12112220262. Its totient is φ = 12112220260.

The previous prime is 12112220249. The next prime is 12112220291. The reversal of 12112220261 is 16202221121.

12112220261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8818149025 + 3294071236 = 93905^2 + 57394^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12112220261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12112220291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6056110130 + 6056110131.

It is an arithmetic number, because the mean of its divisors is an integer number (6056110131).

Almost surely, 212112220261 is an apocalyptic number.

It is an amenable number.

12112220261 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112220261 is an equidigital number, since it uses as much as digits as its factorization.

12112220261 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 20.

Adding to 12112220261 its reverse (16202221121), we get a palindrome (28314441382).

The spelling of 12112220261 in words is "twelve billion, one hundred twelve million, two hundred twenty thousand, two hundred sixty-one".