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12444096001 is a prime number
BaseRepresentation
bin10111001011011100…
…11101011000000001
31012010020202120112111
423211232131120001
5200441142033001
65414452055321
7620243033161
oct134556353001
935106676474
1012444096001
115306405567
1224b3604541
13123417511c
148609c05a1
154cc744851
hex2e5b9d601

12444096001 has 2 divisors, whose sum is σ = 12444096002. Its totient is φ = 12444096000.

The previous prime is 12444095957. The next prime is 12444096013. The reversal of 12444096001 is 10069044421.

12444096001 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., 7928121600 + 4515974401 = 89040^2 + 67201^2 .

It is an emirp because it is prime and its reverse (10069044421) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12444096001 - 211 = 12444093953 is a prime.

It is not a weakly prime, because it can be changed into another prime (12444066001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6222048000 + 6222048001.

It is an arithmetic number, because the mean of its divisors is an integer number (6222048001).

Almost surely, 212444096001 is an apocalyptic number.

It is an amenable number.

12444096001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12444096001 is an equidigital number, since it uses as much as digits as its factorization.

12444096001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 12444096001 in words is "twelve billion, four hundred forty-four million, ninety-six thousand, one".