Search a number
-
+
12212100201112 = 2371952164334261
BaseRepresentation
bin1011000110110101100111…
…1001001111101010011000
31121020110120021000200201121
42301231121321033222120
53100040340122413422
641550054505255024
72400203140663540
oct261553171175230
947213507020647
1012212100201112
113989139216209
121452953794474
136a7799857776
143030d6b22320
151629e88098c7
hexb1b59e4fa98

12212100201112 has 128 divisors (see below), whose sum is σ = 27642691238400. Its totient is φ = 4940938828800.

The previous prime is 12212100201101. The next prime is 12212100201113. The reversal of 12212100201112 is 21110200121221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212100201113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356426062 + ... + 356460322.

It is an arithmetic number, because the mean of its divisors is an integer number (215958525300).

Almost surely, 212212100201112 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 12212100201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13821345619200).

12212100201112 is an abundant number, since it is smaller than the sum of its proper divisors (15430591037288).

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

12212100201112 is a wasteful number, since it uses less digits than its factorization.

12212100201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35457 (or 35453 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12212100201112 its reverse (21110200121221), we get a palindrome (33322300322333).

The spelling of 12212100201112 in words is "twelve trillion, two hundred twelve billion, one hundred million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 521 532 643 1042 1064 1286 2084 2572 3647 4168 4501 5144 7294 9002 9899 12217 14588 18004 19798 24434 29176 34261 36008 39596 48868 68522 69293 79192 85519 97736 137044 138586 171038 239827 274088 277172 335003 342076 479654 554344 650959 670006 684152 959308 1301918 1340012 1918616 2345021 2603836 2680024 4556713 4690042 5207672 6365057 9113426 9380084 12730114 17849981 18226852 18760168 22029823 25460228 35699962 36453704 44059646 44555399 50920456 71399924 88119292 89110798 124949867 142799848 154208761 176238584 178221596 249899734 308417522 339149639 356443192 418566637 499799468 616835044 678299278 837133274 999598936 1233670088 1356598556 1674266548 2374047473 2713197112 2929966459 3348533096 4748094946 5859932918 9496189892 11477537783 11719865836 18992379784 22955075566 23439731672 45910151132 80342764481 91820302264 160685528962 218073217877 321371057924 436146435754 642742115848 872292871508 1526512525139 1744585743016 3053025050278 6106050100556 12212100201112