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12112110221131 is a prime number
BaseRepresentation
bin1011000001000001001000…
…0001101111011101001011
31120212220110210020102100201
42300100102001233131023
53041421100204034011
641432120541113031
72360033245120114
oct260202201573513
946786423212321
1012112110221131
11394a798504318
1214374a9258777
1369b223145a3b
142dc32d14d20b
151600e53edcc1
hexb041206f74b

12112110221131 has 2 divisors, whose sum is σ = 12112110221132. Its totient is φ = 12112110221130.

The previous prime is 12112110221129. The next prime is 12112110221261. The reversal of 12112110221131 is 13112201121121.

It is a weak prime.

It is an emirp because it is prime and its reverse (13112201121121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12112110221131 - 21 = 12112110221129 is a prime.

It is a super-2 number, since 2×121121102211312 (a number of 27 digits) contains 22 as substring.

Together with 12112110221129, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12112110221099 and 12112110221108.

It is not a weakly prime, because it can be changed into another prime (12112110291131) 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, 6056055110565 + 6056055110566.

It is an arithmetic number, because the mean of its divisors is an integer number (6056055110566).

Almost surely, 212112110221131 is an apocalyptic number.

12112110221131 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112110221131 is an equidigital number, since it uses as much as digits as its factorization.

12112110221131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 12112110221131 its reverse (13112201121121), we get a palindrome (25224311342252).

The spelling of 12112110221131 in words is "twelve trillion, one hundred twelve billion, one hundred ten million, two hundred twenty-one thousand, one hundred thirty-one".