Search a number
-
+
120000122011011 = 3112941101237712739
BaseRepresentation
bin11011010010001110110100…
…101001010011110110000011
3120201212220021211100211120210
4123102032310221103312003
5111212040222213323021
61103115143420005203
734163502614232324
oct3322166451236603
9521786254324523
10120000122011011
1135265847529960
12115609b2090803
1351c5c697a9038
14218c07335044b
15dd172a206e76
hex6d23b4a53d83

120000122011011 has 128 divisors (see below), whose sum is σ = 186893084851200. Its totient is φ = 67794693120000.

The previous prime is 120000122010983. The next prime is 120000122011013. The reversal of 120000122011011 is 110110221000021.

120000122011011 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 120000122011011 - 210 = 120000122009987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120000122011013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9419894880 + ... + 9419907618.

It is an arithmetic number, because the mean of its divisors is an integer number (1460102225400).

Almost surely, 2120000122011011 is an apocalyptic number.

120000122011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120000122011011 is a deficient number, since it is larger than the sum of its proper divisors (66892962840189).

120000122011011 is a wasteful number, since it uses less digits than its factorization.

120000122011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15301.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120000122011011 its reverse (110110221000021), we get a palindrome (230110343011032).

The spelling of 120000122011011 in words is "one hundred twenty trillion, one hundred twenty-two million, eleven thousand, eleven".

Divisors: 1 3 11 29 33 41 87 101 123 303 319 451 957 1111 1189 1353 2377 2929 3333 3567 4141 7131 8787 12423 12739 13079 26147 32219 38217 39237 45551 68933 78441 96657 97457 120089 136653 140129 206799 240077 292371 360267 369431 420387 522299 720231 758263 1072027 1108293 1286639 1320979 1566897 2274789 2640847 2826253 3216081 3859917 3962937 4063741 5745289 6962233 7922541 8478759 9843157 12191223 14153029 15146671 17235867 20886699 29529471 30280603 31088783 37312531 42459087 45440013 52752199 76584563 90841809 93266349 108274727 111937593 158256597 166613381 229753689 285451553 324824181 333086633 410437841 499840143 580274189 856354659 878137487 999259899 1231313523 1241504723 1529813771 1740822567 2634412461 3058340903 3139967083 3724514169 4589441313 9175022709 9419901249 9659512357 13656551953 16827951481 28978537071 33641749933 36003636967 40969655859 50483854443 88691886187 100925249799 108010910901 125391977023 266075658561 376175931069 396040006637 975610748057 1188120019911 1379311747253 2926832244171 3636367333667 4137935241759 10909102001001 40000040670337 120000122011011