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122210200112 = 247111331724071
BaseRepresentation
bin111000111010001001…
…0111010101000110000
3102200110001001102001212
41301310102322220300
54000241302400422
6132050444415252
711554324363340
oct1616422725060
9380401042055
10122210200112
1147913521190
121b827b47528
13b6a807a6a0
145cb4abad20
1532a40399e2
hex1c744baa30

122210200112 has 160 divisors (see below), whose sum is σ = 318933586944. Its totient is φ = 43811251200.

The previous prime is 122210200093. The next prime is 122210200153. The reversal of 122210200112 is 211002012221.

It is a super-2 number, since 2×1222102001122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5065037 + ... + 5089107.

Almost surely, 2122210200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122210200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159466793472).

122210200112 is an abundant number, since it is smaller than the sum of its proper divisors (196723386832).

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

122210200112 is a wasteful number, since it uses less digits than its factorization.

122210200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24427 (or 24421 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122210200112 its reverse (211002012221), we get a palindrome (333212212333).

The spelling of 122210200112 in words is "one hundred twenty-two billion, two hundred ten million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 317 364 572 616 634 728 1001 1144 1232 1268 1456 2002 2219 2288 2536 3487 4004 4121 4438 5072 6974 8008 8242 8876 13948 16016 16484 17752 24071 24409 27896 28847 32968 35504 45331 48142 48818 55792 57694 65936 90662 96284 97636 115388 168497 181324 192568 195272 230776 264781 312923 317317 336994 362648 385136 390544 461552 529562 625846 634634 673988 725296 1059124 1251692 1269268 1347976 1853467 2118248 2190461 2503384 2538536 2695952 3442153 3706934 4236496 4380922 5006768 5077072 6884306 7413868 7630507 8761844 13768612 14827736 15261014 17523688 24095071 27537224 29655472 30522028 35047376 48190142 53413549 55074448 61044056 83935577 96380284 99196591 106827098 122088112 167871154 192760568 198393182 213654196 335742308 385521136 396786364 427308392 587549039 671484616 694376137 793572728 854616784 1091162501 1175098078 1342969232 1388752274 1587145456 2182325002 2350196156 2777504548 4364650004 4700392312 5555009096 7638137507 8729300008 9400784624 11110018192 15276275014 17458600016 30552550028 61105100056 122210200112