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12004132301024 = 2517192831941011
BaseRepresentation
bin1010111010101110111000…
…0010101010100011100000
31120111120202121201202010112
42232223232002222203200
53033133430332113044
641310342223350452
72346161406002243
oct256535602524340
946446677652115
1012004132301024
113908a18811816
12141a593752428
13690ca5854216
142d700873125a
1515c3c5acb09e
hexaeaee0aa8e0

12004132301024 has 96 divisors (see below), whose sum is σ = 26341909171200. Its totient is φ = 5351367997440.

The previous prime is 12004132301017. The next prime is 12004132301107. The reversal of 12004132301024 is 42010323140021.

It is a super-4 number, since 4×120041323010244 (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292684679 + ... + 292725689.

It is an arithmetic number, because the mean of its divisors is an integer number (274394887200).

Almost surely, 212004132301024 is an apocalyptic number.

It is an amenable number.

12004132301024 is an abundant number, since it is smaller than the sum of its proper divisors (14337776870176).

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

12004132301024 is a wasteful number, since it uses less digits than its factorization.

12004132301024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69376 (or 69368 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12004132301024 its reverse (42010323140021), we get a palindrome (54014455441045).

The spelling of 12004132301024 in words is "twelve trillion, four billion, one hundred thirty-two million, three hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 10336 28319 41011 56638 82022 113276 164044 226552 328088 453104 481423 538061 656176 697187 779209 906208 962846 1076122 1312352 1394374 1558418 1925692 2152244 2788748 3116836 3851384 4304488 5577496 6233672 7702768 8608976 9147037 11154992 12467344 13246553 15405536 17217952 18294074 22309984 24934688 26493106 36588148 52986212 73176296 105972424 146352592 211944848 292705184 423889696 1161390509 2322781018 4645562036 9291124072 18582248144 19743638653 22066419671 37164496288 39487277306 44132839342 78974554612 88265678684 157949109224 176531357368 315898218448 353062714736 375129134407 631796436896 706125429472 750258268814 1500516537628 3001033075256 6002066150512 12004132301024