Search a number
-
+
122330111112 = 23331153971429
BaseRepresentation
bin111000111101101110…
…0010101110010001000
3102200202101200112001000
41301323130111302020
54001013002023422
6132110410455000
711560311534156
oct1617334256210
9380671615030
10122330111112
1147975182090
121b860134460
13b6c6b72c41
145cc69b23d6
1532ae823cac
hex1c7b715c88

122330111112 has 128 divisors (see below), whose sum is σ = 377691984000. Its totient is φ = 36370264320.

The previous prime is 122330111083. The next prime is 122330111143. The reversal of 122330111112 is 211111033221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359787 + ... + 611642.

It is an arithmetic number, because the mean of its divisors is an integer number (2950718625).

Almost surely, 2122330111112 is an apocalyptic number.

122330111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122330111112 is an abundant number, since it is smaller than the sum of its proper divisors (255361872888).

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

122330111112 is a wasteful number, since it uses less digits than its factorization.

122330111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971508 (or 971498 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122330111112 its reverse (211111033221), we get a palindrome (333441144333).

The spelling of 122330111112 in words is "one hundred twenty-two billion, three hundred thirty million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 53 54 66 72 88 99 106 108 132 159 198 212 216 264 297 318 396 424 477 583 594 636 792 954 1166 1188 1272 1431 1749 1908 2332 2376 2862 3498 3816 4664 5247 5724 6996 10494 11448 13992 15741 20988 31482 41976 62964 125928 971429 1942858 2914287 3885716 5828574 7771432 8742861 10685719 11657148 17485722 21371438 23314296 26228583 32057157 34971444 42742876 51485737 52457166 64114314 69942888 85485752 96171471 102971474 104914332 128228628 154457211 192342942 205942948 209828664 256457256 288514413 308914422 384685884 411885896 463371633 566343107 577028826 617828844 769371768 926743266 1132686214 1154057652 1235657688 1390114899 1699029321 1853486532 2265372428 2308115304 2780229798 3398058642 3706973064 4530744856 5097087963 5560459596 6796117284 10194175926 11120919192 13592234568 15291263889 20388351852 30582527778 40776703704 61165055556 122330111112