Search a number
-
+
12112110221261 is a prime number
BaseRepresentation
bin1011000001000001001000…
…0001101111011111001101
31120212220110210020102112112
42300100102001233133031
53041421100204040021
641432120541113405
72360033245120361
oct260202201573715
946786423212475
1012112110221261
11394a798504426
1214374a9258865
1369b223145b0b
142dc32d14d2a1
151600e53edd5b
hexb041206f7cd

12112110221261 has 2 divisors, whose sum is σ = 12112110221262. Its totient is φ = 12112110221260.

The previous prime is 12112110221131. The next prime is 12112110221273. The reversal of 12112110221261 is 16212201121121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11448789563236 + 663320658025 = 3383606^2 + 814445^2 .

It is an emirp because it is prime and its reverse (16212201121121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12112110221261 - 214 = 12112110204877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12112110241261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6056055110630 + 6056055110631.

It is an arithmetic number, because the mean of its divisors is an integer number (6056055110631).

Almost surely, 212112110221261 is an apocalyptic number.

It is an amenable number.

12112110221261 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112110221261 is an equidigital number, since it uses as much as digits as its factorization.

12112110221261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 23.

Adding to 12112110221261 its reverse (16212201121121), we get a palindrome (28324311342382).

The spelling of 12112110221261 in words is "twelve trillion, one hundred twelve billion, one hundred ten million, two hundred twenty-one thousand, two hundred sixty-one".