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12002022322349 is a prime number
BaseRepresentation
bin1010111010100111000001…
…0001101111000010101101
31120111101022120102201112012
42232221300101233002231
53033120120203303344
641305353011251005
72346055205325023
oct256516021570255
946441276381465
1012002022322349
113908035788594
12141a0a4ba9a65
13690a2a681427
142d6c88408713
1515c30074229e
hexaea7046f0ad

12002022322349 has 2 divisors, whose sum is σ = 12002022322350. Its totient is φ = 12002022322348.

The previous prime is 12002022322319. The next prime is 12002022322351. The reversal of 12002022322349 is 94322322020021.

12002022322349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11999171296324 + 2851026025 = 3463982^2 + 53395^2 .

It is an emirp because it is prime and its reverse (94322322020021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12002022322349 - 240 = 10902510694573 is a prime.

Together with 12002022322351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12002022322319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001011161174 + 6001011161175.

It is an arithmetic number, because the mean of its divisors is an integer number (6001011161175).

Almost surely, 212002022322349 is an apocalyptic number.

It is an amenable number.

12002022322349 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002022322349 is an equidigital number, since it uses as much as digits as its factorization.

12002022322349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 12002022322349 in words is "twelve trillion, two billion, twenty-two million, three hundred twenty-two thousand, three hundred forty-nine".