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12122110033141 is a prime number
BaseRepresentation
bin1011000001100110011000…
…0011111111110011110101
31120220212021200122111121111
42300121212003333303311
53042102040132030031
641440453115515021
72360536121120023
oct260314603776365
946825250574544
1012122110033141
113953a5a100069
12143941a158a71
1369c157a98774
142dc9db263713
151604cd2711b1
hexb06660ffcf5

12122110033141 has 2 divisors, whose sum is σ = 12122110033142. Its totient is φ = 12122110033140.

The previous prime is 12122110033129. The next prime is 12122110033157. The reversal of 12122110033141 is 14133001122121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11691680876100 + 430429157041 = 3419310^2 + 656071^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122110033141 - 211 = 12122110031093 is a prime.

It is a super-2 number, since 2×121221100331412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122110033441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061055016570 + 6061055016571.

It is an arithmetic number, because the mean of its divisors is an integer number (6061055016571).

Almost surely, 212122110033141 is an apocalyptic number.

It is an amenable number.

12122110033141 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122110033141 is an equidigital number, since it uses as much as digits as its factorization.

12122110033141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12122110033141 its reverse (14133001122121), we get a palindrome (26255111155262).

The spelling of 12122110033141 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, thirty-three thousand, one hundred forty-one".