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122122432424 = 23314359672897
BaseRepresentation
bin111000110111100010…
…0000110111110101000
3102200012220220100102202
41301233010012332220
54000101320314144
6132034031315332
711552210356016
oct1615704067650
9380186810382
10122122432424
1147878a25003
121b80267bb48
13b692b2a845
145ca71918b6
15329b49e64e
hex1c6f106fa8

122122432424 has 128 divisors (see below), whose sum is σ = 249719500800. Its totient is φ = 55872875520.

The previous prime is 122122432423. The next prime is 122122432427. The reversal of 122122432424 is 424234221221.

It is not an unprimeable number, because it can be changed into a prime (122122432423) by changing a digit.

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, 42153344 + ... + 42156240.

It is an arithmetic number, because the mean of its divisors is an integer number (1950933600).

Almost surely, 2122122432424 is an apocalyptic number.

It is an amenable number.

122122432424 is an abundant number, since it is smaller than the sum of its proper divisors (127597068376).

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

122122432424 is a wasteful number, since it uses less digits than its factorization.

122122432424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3099 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

Adding to 122122432424 its reverse (424234221221), we get a palindrome (546356653645).

The spelling of 122122432424 in words is "one hundred twenty-two billion, one hundred twenty-two million, four hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 31 43 59 62 67 86 118 124 134 172 236 248 268 344 472 536 1333 1829 2077 2537 2666 2881 2897 3658 3953 4154 5074 5332 5762 5794 7316 7906 8308 10148 10664 11524 11588 14632 15812 16616 20296 23048 23176 31624 78647 89311 89807 122543 124571 157294 169979 170923 178622 179614 194099 245086 249142 314588 339958 341846 357244 359228 388198 490172 498284 629176 679916 683692 714488 718456 776396 980344 996568 1359832 1367384 1552792 3861701 5269349 5298613 6017069 7349689 7723402 8346257 10538698 10597226 11451841 12034138 14699378 15446804 16692514 21077396 21194452 22903682 24068276 29398756 30893608 33385028 42154792 42388904 45807364 48136552 58797512 66770056 91614728 227840359 258733967 355007071 455680718 492429163 517467934 710014142 911361436 984858326 1034935868 1420028284 1822722872 1969716652 2069871736 2840056568 3939433304 15265304053 30530608106 61061216212 122122432424