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12002211031337 is a prime number
BaseRepresentation
bin1010111010100111101110…
…0001100110100100101001
31120111101210201112010120222
42232221323201212210221
53033121012011000322
641305423432055425
72346062656325012
oct256517341464451
946441721463528
1012002211031337
11390812225942a
12141a138234575
13690a5a7b4357
142d6ca54cc009
1515c3120bae42
hexaea7b866929

12002211031337 has 2 divisors, whose sum is σ = 12002211031338. Its totient is φ = 12002211031336.

The previous prime is 12002211031247. The next prime is 12002211031339. The reversal of 12002211031337 is 73313011220021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8082171383056 + 3920039648281 = 2842916^2 + 1979909^2 .

It is an emirp because it is prime and its reverse (73313011220021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12002211031337 - 212 = 12002211027241 is a prime.

Together with 12002211031339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12002211031339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001105515668 + 6001105515669.

It is an arithmetic number, because the mean of its divisors is an integer number (6001105515669).

Almost surely, 212002211031337 is an apocalyptic number.

It is an amenable number.

12002211031337 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002211031337 is an equidigital number, since it uses as much as digits as its factorization.

12002211031337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 12002211031337 its reverse (73313011220021), we get a palindrome (85315222251358).

The spelling of 12002211031337 in words is "twelve trillion, two billion, two hundred eleven million, thirty-one thousand, three hundred thirty-seven".