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122230333132 = 221719311132239
BaseRepresentation
bin111000111010101111…
…1101101111011001100
3102200111102221021101021
41301311133231323030
54000311431130012
6132052444123524
711554660455235
oct1616537557314
9380442837337
10122230333132
1147923922446
121b8328365a4
13b6ac2a950b
145cb763c08c
1532a5bb5007
hex1c757edecc

122230333132 has 144 divisors (see below), whose sum is σ = 249332428800. Its totient is φ = 52049571840.

The previous prime is 122230333109. The next prime is 122230333139. The reversal of 122230333132 is 231333032221.

It is a junction number, because it is equal to n+sod(n) for n = 122230333097 and 122230333106.

It is not an unprimeable number, because it can be changed into a prime (122230333139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511423869 + ... + 511424107.

It is an arithmetic number, because the mean of its divisors is an integer number (1731475200).

Almost surely, 2122230333132 is an apocalyptic number.

It is an amenable number.

122230333132 is an abundant number, since it is smaller than the sum of its proper divisors (127102095668).

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

122230333132 is a wasteful number, since it uses less digits than its factorization.

122230333132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 122230333132 its reverse (231333032221), we get a palindrome (353563365353).

The spelling of 122230333132 in words is "one hundred twenty-two billion, two hundred thirty million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 17 19 31 34 38 62 68 76 113 124 226 239 323 452 478 527 589 646 956 1054 1178 1292 1921 2108 2147 2356 3503 3842 4063 4294 4541 7006 7409 7684 8126 8588 9082 10013 12769 14012 14818 16252 18164 20026 25538 27007 29636 36499 40052 51076 54014 59551 66557 72998 77197 108028 119102 125953 133114 140771 145996 154394 217073 238204 242611 251906 266228 281542 308788 395839 434146 459119 485222 503812 513133 563084 791678 837217 868292 918238 970444 1026266 1131469 1583356 1674434 1836476 2052532 2262938 2393107 3051791 3348868 4124387 4525876 4786214 6103582 6729263 7520941 8248774 8723261 9572428 12207164 13458526 14232689 15041882 15907123 16497548 17446522 26917052 28465378 30083764 31814246 34893044 51880447 56930756 57984029 63628492 94605521 103760894 115968058 127855997 189211042 207521788 231936116 255711994 270421091 378422084 511423988 540842182 985728493 1081684364 1608293857 1797504899 1971456986 3216587714 3595009798 3942913972 6433175428 7190019596 30557583283 61115166566 122230333132