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12011120012112 = 2431321621791303
BaseRepresentation
bin1010111011001000111010…
…0010101010101101010000
31120112020210121100020200220
42232302032202222231100
53033242233210341422
641313455442313040
72346526515366624
oct256621642525520
946466717306626
1012011120012112
113910984132561
12141ba03958780
1369184a446800
142d74ac7ad184
1515c6842b8e5c
hexaec8e8aab50

12011120012112 has 120 divisors (see below), whose sum is σ = 33601593628224. Its totient is φ = 3695460867072.

The previous prime is 12011120012107. The next prime is 12011120012161. The reversal of 12011120012112 is 21121002111021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12011120012091 and 12011120012100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131506653 + ... + 131597955.

Almost surely, 212011120012112 is an apocalyptic number.

12011120012112 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 12011120012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16800796814112).

12011120012112 is an abundant number, since it is smaller than the sum of its proper divisors (21590473616112).

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

12011120012112 is a wasteful number, since it uses less digits than its factorization.

12011120012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107557 (or 107538 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12011120012112 its reverse (21121002111021), we get a palindrome (33132122123133).

The spelling of 12011120012112 in words is "twelve trillion, eleven billion, one hundred twenty million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4056 8112 16217 32434 48651 64868 91303 97302 129736 182606 194604 210821 259472 273909 365212 389208 421642 547818 632463 730424 778416 843284 1095636 1186939 1264926 1460848 1686568 2191272 2373878 2529852 2740673 3373136 3560817 4382544 4747756 5059704 5481346 7121634 8222019 9495512 10119408 10962692 14243268 15430207 16444038 18991024 21925384 28486536 30860414 32888076 43850768 46290621 56973072 61720828 65776152 92581242 123441656 131552304 185162484 246883312 370324968 740649936 1480660751 2961321502 4441982253 5922643004 8883964506 11845286008 17767929012 19248589763 23690572016 35535858024 38497179526 57745769289 71071716048 76994359052 115491538578 153988718104 230983077156 250231666919 307977436208 461966154312 500463333838 750695000757 923932308624 1000926667676 1501390001514 2001853335352 3002780003028 4003706670704 6005560006056 12011120012112