Search a number
-
+
121200001212212 = 2213291549451311497
BaseRepresentation
bin11011100011101100010011…
…000001001101111100110100
3120220010121101110202201202122
4123203230103001031330310
5111341220100302242322
61105434302323255112
734346261005166306
oct3343542301157464
9526117343681678
10121200001212212
11356886a500902a
121171545721a498
13528215a04a360
1421d017b7d1976
15e02a544d0442
hex6e3b1304df34

121200001212212 has 96 divisors (see below), whose sum is σ = 236517286404000. Its totient is φ = 53958028787712.

The previous prime is 121200001212211. The next prime is 121200001212281. The reversal of 121200001212212 is 212212100002121.

It can be written as a sum of positive squares in 16 ways, for example, as 84710597114896 + 36489404097316 = 9203836^2 + 6040646^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121200001212211) 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, 10541874848 + ... + 10541886344.

It is an arithmetic number, because the mean of its divisors is an integer number (2463721733375).

Almost surely, 2121200001212212 is an apocalyptic number.

It is an amenable number.

121200001212212 is a deficient number, since it is larger than the sum of its proper divisors (115317285191788).

121200001212212 is a wasteful number, since it uses less digits than its factorization.

121200001212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17605 (or 17603 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121200001212212 its reverse (212212100002121), we get a palindrome (333412101214333).

The spelling of 121200001212212 in words is "one hundred twenty-one trillion, two hundred billion, one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 13 26 29 52 58 116 377 754 1508 1549 3098 4513 6196 9026 11497 18052 20137 22994 40274 44921 45988 58669 80548 89842 117338 130877 149461 179684 234676 261754 298922 333413 523508 583973 597844 666826 1167946 1333652 1701401 2335892 3402802 4334369 6805604 6990637 8668738 13981274 17337476 17808853 27962548 35617706 51885961 71235412 90878281 103771922 181756562 202728473 207543844 231515089 363513124 405456946 463030178 516456737 674517493 810913892 926060356 1032913474 1349034986 1504692869 2065826948 2635470149 2698069972 3009385738 5270940298 6018771476 6713937581 10541880596 13427875162 19561007297 26855750324 39122014594 78244029188 80371353589 160742707178 321485414356 1044827596657 2089655193314 2330769254081 4179310386628 4661538508162 9323077016324 30300000303053 60600000606106 121200001212212