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12001100012112 = 24317139105807413
BaseRepresentation
bin1010111010100011100101…
…0011011001101001010000
31120111021221021221111201210
42232220321103121221100
53033111223100341422
641305121303100120
72346023305655631
oct256507123315120
946437837844653
1012001100012112
1139077020a8222
121419a88141640
13690911575c23
142d6bdbb21888
1515c2997aa10c
hexaea394d9a50

12001100012112 has 80 divisors (see below), whose sum is σ = 33062700726720. Its totient is φ = 3737964251136.

The previous prime is 12001100012093. The next prime is 12001100012131. The reversal of 12001100012112 is 21121000110021.

It is an interprime number because it is at equal distance from previous prime (12001100012093) and next prime (12001100012131).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 52790283 + ... + 53017130.

It is an arithmetic number, because the mean of its divisors is an integer number (413283759084).

Almost surely, 212001100012112 is an apocalyptic number.

12001100012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001100012112 is an abundant number, since it is smaller than the sum of its proper divisors (21061600714608).

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

12001100012112 is a wasteful number, since it uses less digits than its factorization.

12001100012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105807580 (or 105807574 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001100012112 its reverse (21121000110021), we get a palindrome (33122100122133).

The spelling of 12001100012112 in words is "twelve trillion, one billion, one hundred million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 139 204 272 278 408 417 556 816 834 1112 1668 2224 2363 3336 4726 6672 7089 9452 14178 18904 28356 37808 56712 113424 105807413 211614826 317422239 423229652 634844478 846459304 1269688956 1692918608 1798726021 2539377912 3597452042 5078755824 5396178063 7194904084 10792356126 14389808168 14707230407 21584712252 28779616336 29414460814 43169424504 44121691221 58828921628 86338849008 88243382442 117657843256 176486764884 235315686512 250022916919 352973529768 500045833838 705947059536 750068750757 1000091667676 1500137501514 2000183335352 3000275003028 4000366670704 6000550006056 12001100012112