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122103222112 = 25234727712743
BaseRepresentation
bin111000110110111101…
…0110100111101100000
3102200011120202100211201
41301231322310331200
54000031411101422
6132032103450544
711551555156204
oct1615572647540
9380146670751
10122103222112
11478690a4013
121b7b8156a54
13b68bb629b1
145ca47d0b04
153299957727
hex1c6deb4f60

122103222112 has 96 divisors (see below), whose sum is σ = 257124575232. Its totient is φ = 56943896064.

The previous prime is 122103222103. The next prime is 122103222121. The reversal of 122103222112 is 211222301221.

It is an interprime number because it is at equal distance from previous prime (122103222103) and next prime (122103222121).

It is a self number, because there is not a number n which added to its sum of digits gives 122103222112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9575613 + ... + 9588355.

It is an arithmetic number, because the mean of its divisors is an integer number (2678380992).

Almost surely, 2122103222112 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 122103222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128562287616).

122103222112 is an abundant number, since it is smaller than the sum of its proper divisors (135021353120).

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

122103222112 is a wasteful number, since it uses less digits than its factorization.

122103222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13100 (or 13092 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 122103222112 its reverse (211222301221), we get a palindrome (333325523333).

The spelling of 122103222112 in words is "one hundred twenty-two billion, one hundred three million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 47 92 94 184 188 277 368 376 554 736 752 1081 1108 1504 2162 2216 4324 4432 6371 8648 8864 12742 12743 13019 17296 25484 25486 26038 34592 50968 50972 52076 101936 101944 104152 203872 203888 208304 293089 299437 407776 416608 586178 598874 598921 1172356 1197748 1197842 2344712 2395496 2395684 3529811 4689424 4790992 4791368 7059622 9378848 9581984 9582736 13775183 14119244 19165472 27550366 28238488 55100732 56476976 81185653 110201464 112953952 162371306 165901117 220402928 324742612 331802234 440805856 649485224 663604468 1298970448 1327208936 2597940896 2654417872 3815725691 5308835744 7631451382 15262902764 30525805528 61051611056 122103222112