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221121212220012 = 2231373122315876563
BaseRepresentation
bin110010010001101111001011…
…010011101000001001101100
31001222220222111110200202110010
4302101233023103220021230
5212440322220312020022
62102141403232413220
764401323526063126
oct6221571323501154
91058828443622403
10221121212220012
1164501a85753215
12209729326a7210
13964c843c08150
143c86476622216
151a86d0bc9350c
hexc91bcb4e826c

221121212220012 has 96 divisors (see below), whose sum is σ = 563709979058688. Its totient is φ = 67050404688384.

The previous prime is 221121212220011. The next prime is 221121212220019. The reversal of 221121212220012 is 210022212121122.

It is not an unprimeable number, because it can be changed into a prime (221121212220011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5989243 + ... + 21865805.

It is an arithmetic number, because the mean of its divisors is an integer number (5871978948528).

Almost surely, 2221121212220012 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 221121212220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281854989529344).

221121212220012 is an abundant number, since it is smaller than the sum of its proper divisors (342588766838676).

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

221121212220012 is a wasteful number, since it uses less digits than its factorization.

221121212220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15877879 (or 15877877 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 221121212220012 its reverse (210022212121122), we get a palindrome (431143424341134).

The spelling of 221121212220012 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred twelve million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 292 438 876 949 1223 1898 2446 2847 3669 3796 4892 5694 7338 11388 14676 15899 31798 47697 63596 89279 95394 178558 190788 267837 357116 535674 1071348 1160627 2321254 3481881 4642508 6963762 13927524 15876563 31753126 47629689 63506252 95259378 190518756 206395319 412790638 619185957 825581276 1158989099 1238371914 2317978198 2476743828 3476967297 4635956396 6953934594 13907869188 15066858287 19417036549 30133716574 38834073098 45200574861 58251109647 60267433148 77668146196 90401149722 116502219294 180802299444 233004438588 252421475137 504842950274 757264425411 1009685900548 1417443668077 1514528850822 2834887336154 3029057701644 4252331004231 5669774672308 8504662008462 17009324016924 18426767685001 36853535370002 55280303055003 73707070740004 110560606110006 221121212220012