Search a number
-
+
122212210222011 = 371337411291228581
BaseRepresentation
bin11011110010011010111111…
…011000001010001110111011
3121000201101002001121010010210
4123302122333120022032323
5112004311101304101021
61111531303031242203
734512353332623150
oct3362327730121673
9530641061533123
10122212210222011
1135a389a8671768
1211859665b19363
13532673c86a940
142227161502227
15e1e047a00e76
hex6f26bf60a3bb

122212210222011 has 128 divisors (see below), whose sum is σ = 211161842583552. Its totient is φ = 61143869952000.

The previous prime is 122212210221977. The next prime is 122212210222013. The reversal of 122212210222011 is 110222012212221.

It is not a de Polignac number, because 122212210222011 - 27 = 122212210221883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (122212210222013) 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, 534541741 + ... + 534770321.

It is an arithmetic number, because the mean of its divisors is an integer number (1649701895184).

Almost surely, 2122212210222011 is an apocalyptic number.

122212210222011 is a deficient number, since it is larger than the sum of its proper divisors (88949632361541).

122212210222011 is a wasteful number, since it uses less digits than its factorization.

122212210222011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229973.

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

Adding to 122212210222011 its reverse (110222012212221), we get a palindrome (232434222434232).

It can be divided in two parts, 122212210 and 222011, that added together give a palindrome (122434221).

The spelling of 122212210222011 in words is "one hundred twenty-two trillion, two hundred twelve billion, two hundred ten million, two hundred twenty-two thousand, eleven".

Divisors: 1 3 7 13 21 37 39 41 91 111 123 259 273 287 481 533 777 861 1291 1443 1517 1599 3367 3731 3873 4551 9037 10101 10619 11193 16783 19721 27111 31857 47767 50349 52931 59163 117481 138047 143301 158793 228581 334369 352443 370517 414141 620971 685743 688103 1003107 1111551 1600067 1862913 1958447 2064309 2971553 4346797 4800201 4816721 5875341 8457497 8914659 9371821 13040391 13709129 14450163 20800871 25372491 25459811 28115463 41127387 59202479 62402613 65602747 76379433 109947461 121833673 177607437 178218677 196808241 295098071 329842383 346757377 365501019 534656031 769632227 852835711 885294213 1040272131 2065686497 2308896681 2427301639 2558507133 3836274923 4507845901 6197059491 7281904917 10918628627 11508824769 12099020911 13523537703 26853924461 31554921307 32755885881 36297062733 76430400389 80561773383 84693146377 94664763921 141942172151 157287271843 229291201167 254079439131 425826516453 447663773707 471861815529 993595205057 1101010902901 1342991321121 2980785615171 3133646415949 3303032708703 5819629058191 9400939247847 17458887174573 40737403407337 122212210222011