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12330423361242 = 2327747591309013
BaseRepresentation
bin1011001101101110011010…
…0000010001111011011010
31121122202222101221000100200
42303123212200101323122
53104010201340024432
642120303541243030
72411562246154140
oct263334640217332
947582871830320
1012330423361242
113a24337596758
121471875a03476
136b59a551419c
14308b1d491590
15165b21483a7c
hexb36e6811eda

12330423361242 has 48 divisors (see below), whose sum is σ = 30532908631680. Its totient is φ = 3522928287456.

The previous prime is 12330423361231. The next prime is 12330423361303. The reversal of 12330423361242 is 24216332403321.

12330423361242 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 0 + 4 + 2 + 33 + 612 + 4 + 2 = 666.

It is a super-2 number, since 2×123304233612422 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12330423361197 and 12330423361206.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8765128 + ... + 10074140.

It is an arithmetic number, because the mean of its divisors is an integer number (636102263160).

Almost surely, 212330423361242 is an apocalyptic number.

12330423361242 is an abundant number, since it is smaller than the sum of its proper divisors (18202485270438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12330423361242 is a wasteful number, since it uses less digits than its factorization.

12330423361242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383787 (or 1383784 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 12330423361242 its reverse (24216332403321), we get a palindrome (36546755764563).

The spelling of 12330423361242 in words is "twelve trillion, three hundred thirty billion, four hundred twenty-three million, three hundred sixty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 74759 149518 224277 448554 523313 672831 1046626 1309013 1345662 1569939 2618026 3139878 3927039 4709817 7854078 9163091 9419634 11781117 18326182 23562234 27489273 54978546 82467819 164935638 97860502867 195721005734 293581508601 587163017202 685023520069 880744525803 1370047040138 1761489051606 2055070560207 4110141120414 6165211680621 12330423361242