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12144220304121 = 321349357811569
BaseRepresentation
bin1011000010111000101111…
…1011111111001011111001
31120222222100121000122102200
42300232023323333023321
53042432330344212441
641454551111420413
72362251046246323
oct260561373771371
946888317018380
1012144220304121
113962375842994
12144176a984709
136a126c719249
142ddad790a613
15160d743d27b6
hexb0b8beff2f9

12144220304121 has 6 divisors (see below), whose sum is σ = 17541651550410. Its totient is φ = 8096146869408.

The previous prime is 12144220304089. The next prime is 12144220304149. The reversal of 12144220304121 is 12140302244121.

12144220304121 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 42 + 203 + 0 + 412 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12130871043600 + 13349260521 = 3482940^2 + 115539^2 .

It is not a de Polignac number, because 12144220304121 - 25 = 12144220304089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12144220204121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 674678905776 + ... + 674678905793.

It is an arithmetic number, because the mean of its divisors is an integer number (2923608591735).

Almost surely, 212144220304121 is an apocalyptic number.

It is an amenable number.

12144220304121 is a deficient number, since it is larger than the sum of its proper divisors (5397431246289).

12144220304121 is a wasteful number, since it uses less digits than its factorization.

12144220304121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349357811575 (or 1349357811572 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12144220304121 its reverse (12140302244121), we get a palindrome (24284522548242).

The spelling of 12144220304121 in words is "twelve trillion, one hundred forty-four billion, two hundred twenty million, three hundred four thousand, one hundred twenty-one".

Divisors: 1 3 9 1349357811569 4048073434707 12144220304121