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12003000231112 = 23116122360716519
BaseRepresentation
bin1010111010101010101010…
…0100001010010011001000
31120111110211201112122011021
42232222222210022103020
53033124121024343422
641310034023242224
72346121351400002
oct256525244122310
946443751478137
1012003000231112
113908497792950
12141a3185a9374
13690b55155377
142d6d3c245372
1515c35b50cdc7
hexaeaaa90a4c8

12003000231112 has 128 divisors (see below), whose sum is σ = 25108792934400. Its totient is φ = 5333278982400.

The previous prime is 12003000231059. The next prime is 12003000231143. The reversal of 12003000231112 is 21113200030021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726609589 + ... + 726626107.

It is an arithmetic number, because the mean of its divisors is an integer number (196162444800).

Almost surely, 212003000231112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12003000231112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12554396467200).

12003000231112 is an abundant number, since it is smaller than the sum of its proper divisors (13105792703288).

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

12003000231112 is a wasteful number, since it uses less digits than its factorization.

12003000231112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17427 (or 17423 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12003000231112 its reverse (21113200030021), we get a palindrome (33116200261133).

The spelling of 12003000231112 in words is "twelve trillion, three billion, two hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 61 88 122 223 244 446 488 607 671 892 1214 1342 1784 2428 2453 2684 4856 4906 5368 6677 9812 13354 13603 16519 19624 26708 27206 33038 37027 53416 54412 66076 74054 108824 132152 135361 148108 149633 181709 270722 296216 299266 363418 407297 541444 598532 726836 814594 1007659 1082888 1197064 1453672 1488971 1629188 2015318 2977942 3258376 3683737 4030636 5955884 7367474 8061272 8257021 10027033 11084249 11911768 14734948 16514042 20054066 22168498 29469896 33028084 40108132 40521107 44336996 66056168 80216264 81042214 88673992 90827231 110297363 162084428 181654462 220594726 224707957 324168856 363308924 441189452 449415914 611649013 726617848 882378904 898831828 1223298026 1797663656 2236028359 2446596052 2471787527 4472056718 4893192104 4943575054 6728139143 8944113436 9887150108 13456278286 17888226872 19774300216 24596311949 26912556572 49192623898 53825113144 98385247796 136397729899 196770495592 272795459798 545590919596 1091181839192 1500375028889 3000750057778 6001500115556 12003000231112