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12011333000321 is a prime number
BaseRepresentation
bin1010111011001001101100…
…1111001001110010000001
31120112021100110010011121002
42232302123033021302001
53033243202222002241
641313532531341345
72346535012640534
oct256623317116201
946467313104532
1012011333000321
113910a83386776
12141ba63151855
136918825ca835
142d74ccbb2a1b
1515c697d3b89b
hexaec9b3c9c81

12011333000321 has 2 divisors, whose sum is σ = 12011333000322. Its totient is φ = 12011333000320.

The previous prime is 12011333000287. The next prime is 12011333000333. The reversal of 12011333000321 is 12300033311021.

12011333000321 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., 6603666457600 + 5407666542721 = 2569760^2 + 2325439^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12011333000321 is a prime.

It is a super-2 number, since 2×120113330003212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12011333000293 and 12011333000302.

It is not a weakly prime, because it can be changed into another prime (12011333000351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6005666500160 + 6005666500161.

It is an arithmetic number, because the mean of its divisors is an integer number (6005666500161).

Almost surely, 212011333000321 is an apocalyptic number.

It is an amenable number.

12011333000321 is a deficient number, since it is larger than the sum of its proper divisors (1).

12011333000321 is an equidigital number, since it uses as much as digits as its factorization.

12011333000321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12011333000321 its reverse (12300033311021), we get a palindrome (24311366311342).

The spelling of 12011333000321 in words is "twelve trillion, eleven billion, three hundred thirty-three million, three hundred twenty-one", and thus it is an aban number.