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12288144756149 is a prime number
BaseRepresentation
bin1011001011010000111010…
…0000001100110110110101
31121111201211221021100021222
42302310032200030312311
53102312110024144044
642045032404120125
72405534453020613
oct262641640146665
947451757240258
1012288144756149
113a084113aaa09
121465636996045
136b19c836aab2
14306a6c4246b3
151649999048ee
hexb2d0e80cdb5

12288144756149 has 2 divisors, whose sum is σ = 12288144756150. Its totient is φ = 12288144756148.

The previous prime is 12288144756113. The next prime is 12288144756161. The reversal of 12288144756149 is 94165744188221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7608632640625 + 4679512115524 = 2758375^2 + 2163218^2 .

It is a cyclic number.

It is not a de Polignac number, because 12288144756149 - 28 = 12288144755893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12288144756091 and 12288144756100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12288144756179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6144072378074 + 6144072378075.

It is an arithmetic number, because the mean of its divisors is an integer number (6144072378075).

Almost surely, 212288144756149 is an apocalyptic number.

It is an amenable number.

12288144756149 is a deficient number, since it is larger than the sum of its proper divisors (1).

12288144756149 is an equidigital number, since it uses as much as digits as its factorization.

12288144756149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30965760, while the sum is 62.

The spelling of 12288144756149 in words is "twelve trillion, two hundred eighty-eight billion, one hundred forty-four million, seven hundred fifty-six thousand, one hundred forty-nine".