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12001113111130 = 251113283131922483
BaseRepresentation
bin1010111010100011101000…
…0101010111101001011010
31120111021222012121000012121
42232220322011113221122
53033111234424024010
641305122451531454
72346023525213323
oct256507205275132
946437865530177
1012001113111130
113907709534760
121419a905b9b8a
136909141b1220
142d6bdd77144a
1515c29a9e63da
hexaea3a157a5a

12001113111130 has 128 divisors (see below), whose sum is σ = 25488697006080. Its totient is φ = 4010889519360.

The previous prime is 12001113111083. The next prime is 12001113111131. The reversal of 12001113111130 is 3111131110021.

It is a super-2 number, since 2×120011131111302 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12001113111131) 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 63 ways as a sum of consecutive naturals, for example, 533774869 + ... + 533797351.

It is an arithmetic number, because the mean of its divisors is an integer number (199130445360).

Almost surely, 212001113111130 is an apocalyptic number.

12001113111130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001113111130 is an abundant number, since it is smaller than the sum of its proper divisors (13487583894950).

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

12001113111130 is a wasteful number, since it uses less digits than its factorization.

12001113111130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24116.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 12001113111130 its reverse (3111131110021), we get a palindrome (15112244221151).

The spelling of 12001113111130 in words is "twelve trillion, one billion, one hundred thirteen million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 130 143 283 286 566 715 1319 1415 1430 2638 2830 3113 3679 6226 6595 7358 13190 14509 15565 17147 18395 22483 29018 31130 34294 36790 40469 44966 72545 80938 85735 112415 145090 171470 188617 202345 224830 247313 292279 373277 377234 404690 494626 584558 746554 943085 1236565 1461395 1866385 1886170 2473130 2922790 3215069 3732770 4106047 4852601 6362689 6430138 8212094 9705202 12725378 16075345 20530235 24263005 29655077 31813445 32150690 41060470 48526010 53378611 59310154 63626890 69989579 82714957 106757222 139979158 148275385 165429914 266893055 296550770 326205847 349947895 385516001 413574785 533786110 652411694 699895790 771032002 827149570 909864527 1631029235 1819729054 1927580005 3262058470 3855160010 4240676011 4549322635 8392386791 8481352022 9098645270 16784773582 21203380055 41961933955 42406760110 83923867910 92316254701 109101028283 184632509402 218202056566 461581273505 545505141415 923162547010 1091010282830 1200111311113 2400222622226 6000556555565 12001113111130