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12000112212012 = 22329217928323473
BaseRepresentation
bin1010111010011111111001…
…1011001111100000101100
31120111012101110020001201220
42232213332123033200230
53033102212211241022
641304435255103340
72345656652546151
oct256477633174054
946435343201656
1012000112212012
113907245557401
121419851371b50
136907b4a1aa22
142d6b4686c228
1515c23cbd885c
hexae9fe6cf82c

12000112212012 has 144 divisors (see below), whose sum is σ = 29265377581440. Its totient is φ = 3826795262976.

The previous prime is 12000112211981. The next prime is 12000112212043. The reversal of 12000112212012 is 21021221100021.

It is an interprime number because it is at equal distance from previous prime (12000112211981) and next prime (12000112212043).

It is a junction number, because it is equal to n+sod(n) for n = 12000112211982 and 12000112212000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511218708 + ... + 511242180.

It is an arithmetic number, because the mean of its divisors is an integer number (203231788760).

Almost surely, 212000112212012 is an apocalyptic number.

12000112212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000112212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14632688790720).

12000112212012 is an abundant number, since it is smaller than the sum of its proper divisors (17265265369428).

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

12000112212012 is a wasteful number, since it uses less digits than its factorization.

12000112212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24000 (or 23969 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12000112212012 its reverse (21021221100021), we get a palindrome (33021333312033).

The spelling of 12000112212012 in words is "twelve trillion, one hundred twelve million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 179 283 348 358 537 566 716 841 849 1074 1132 1682 1698 2148 2523 3364 3396 5046 5191 8207 10092 10382 15573 16414 20764 23473 24621 31146 32828 46946 49242 50657 62292 70419 93892 98484 101314 140838 150539 151971 202628 238003 281676 301078 303942 451617 476006 602156 607884 680717 714009 903234 952012 1361434 1428018 1469053 1806468 2042151 2722868 2856036 2938106 4084302 4201667 4407159 5876212 6642859 8168604 8403334 8814318 12605001 13285718 16806668 17628636 19740793 19928577 25210002 26571436 39481586 39857154 42602537 50420004 59222379 78963172 79714308 85205074 118444758 121848343 127807611 170410148 192642911 236889516 243696686 255615222 365545029 385285822 487393372 511230444 577928733 731090058 770571644 1155857466 1189071761 1462180116 2311714932 2378143522 3533601947 3567215283 4756287044 5586644419 7067203894 7134430566 10600805841 11173288838 14134407788 14268861132 16759933257 21201611682 22346577676 33519866514 34483081069 42403223364 67039733028 68966162138 103449243207 137932324276 206898486414 413796972828 1000009351001 2000018702002 3000028053003 4000037404004 6000056106006 12000112212012