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12003302133121 = 13271025456409
BaseRepresentation
bin1010111010101011110010…
…0011110100110110000001
31120111111121202121211212011
42232222330203310312001
53033130230321224441
641310124010132521
72346132005460535
oct256527443646601
946444552554764
1012003302133121
113908632146342
12141a3a1721141
13690ba286ab00
142d6d6a391bc5
1515c377c95581
hexaeabc8f4d81

12003302133121 has 6 divisors (see below), whose sum is σ = 12997658523030. Its totient is φ = 11079971199648.

The previous prime is 12003302133107. The next prime is 12003302133187. The reversal of 12003302133121 is 12133120330021.

It can be written as a sum of positive squares in 3 ways, for example, as 1234987690000 + 10768314443121 = 1111300^2 + 3281511^2 .

It is not a de Polignac number, because 12003302133121 - 213 = 12003302124929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12003302133092 and 12003302133101.

It is not an unprimeable number, because it can be changed into a prime (12003302133721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35512728036 + ... + 35512728373.

It is an arithmetic number, because the mean of its divisors is an integer number (2166276420505).

Almost surely, 212003302133121 is an apocalyptic number.

It is an amenable number.

12003302133121 is a deficient number, since it is larger than the sum of its proper divisors (994356389909).

12003302133121 is an equidigital number, since it uses as much as digits as its factorization.

12003302133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71025456435 (or 71025456422 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12003302133121 its reverse (12133120330021), we get a palindrome (24136422463142).

The spelling of 12003302133121 in words is "twelve trillion, three billion, three hundred two million, one hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 13 169 71025456409 923330933317 12003302133121