Search a number
-
+
12012222302322 = 23112192909299357
BaseRepresentation
bin1010111011001101000000…
…1111100100100001110010
31120112100122102111101121020
42232303100033210201302
53033302012402133242
641314201100240310
72346566031611664
oct256632017444162
946470572441536
1012012222302322
11391139a371500
121420070b40096
13691994919a38
142d7574d46534
1515c6eae536ec
hexaecd03e4872

12012222302322 has 96 divisors (see below), whose sum is σ = 27806526417600. Its totient is φ = 3447287902080.

The previous prime is 12012222302299. The next prime is 12012222302359. The reversal of 12012222302322 is 22320322221021.

It is a junction number, because it is equal to n+sod(n) for n = 12012222302292 and 12012222302301.

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, 39977068 + ... + 40276424.

It is an arithmetic number, because the mean of its divisors is an integer number (289651316850).

Almost surely, 212012222302322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012222302322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13903263208800).

12012222302322 is an abundant number, since it is smaller than the sum of its proper divisors (15794304115278).

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

12012222302322 is a wasteful number, since it uses less digits than its factorization.

12012222302322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302312 (or 302301 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12012222302322 its reverse (22320322221021), we get a palindrome (34332544523343).

The spelling of 12012222302322 in words is "twelve trillion, twelve billion, two hundred twenty-two million, three hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1254 2299 2909 4598 5818 6897 8727 13794 17454 31999 55271 63998 95997 110542 165813 191994 299357 331626 351989 598714 607981 703978 898071 1055967 1215962 1796142 1823943 2111934 3292927 3647886 5687783 6585854 6687791 9878781 11375566 13375582 17063349 19757562 20063373 34126698 36222197 40126746 62565613 72444394 108666591 125131226 187696839 217333182 375393678 688221743 870829513 1376443486 1741659026 2064665229 2612488539 4129330458 5224977078 9579124643 16545760747 19158249286 28737373929 33091521494 49637282241 57474747858 99274564482 105370371073 182003368217 210740742146 316111113219 364006736434 546010104651 632222226438 1092020209302 2002037050387 4004074100774 6006111151161 12012222302322