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12120220112 = 24711134317599
BaseRepresentation
bin10110100100110101…
…11110000111010000
31011021200022222100012
423102122332013100
5144310234020422
65322402214052
7606231112460
oct132232760720
934250288305
1012120220112
11515a603840
122423054328
1311b20379a0
1482d993ba0
154ae0bb4e2
hex2d26be1d0

12120220112 has 160 divisors (see below), whose sum is σ = 32264601600. Its totient is φ = 4257308160.

The previous prime is 12120220109. The next prime is 12120220117. The reversal of 12120220112 is 21102202121.

12120220112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120220117) by changing a digit.

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, 679889 + ... + 697487.

It is an arithmetic number, because the mean of its divisors is an integer number (201653760).

Almost surely, 212120220112 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 12120220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16132300800).

12120220112 is an abundant number, since it is smaller than the sum of its proper divisors (20144381488).

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

12120220112 is a wasteful number, since it uses less digits than its factorization.

12120220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17681 (or 17675 counting only the distinct ones).

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

Adding to 12120220112 its reverse (21102202121), we get a palindrome (33222422233).

It can be divided in two parts, 12120 and 220112, that added together give a palindrome (232232).

The spelling of 12120220112 in words is "twelve billion, one hundred twenty million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 43 44 52 56 77 86 88 91 104 112 143 154 172 176 182 208 286 301 308 344 364 473 559 572 602 616 688 728 946 1001 1118 1144 1204 1232 1456 1892 2002 2236 2288 2408 3311 3784 3913 4004 4472 4816 6149 6622 7568 7826 8008 8944 12298 13244 15652 16016 17599 24596 26488 31304 35198 43043 49192 52976 62608 70396 86086 98384 123193 140792 172172 193589 228787 246386 281584 344344 387178 457574 492772 688688 756757 774356 915148 985544 1355123 1513514 1548712 1601509 1830296 1971088 2516657 2710246 3027028 3097424 3203018 3660592 5033314 5297299 5420492 6054056 6406036 8324327 9837841 10066628 10594598 10840984 12108112 12812072 16648654 17616599 19675682 20133256 21189196 21681968 25624144 33297308 35233198 39351364 40266512 42378392 58270289 66594616 68864887 70466396 78702728 84756784 108216251 116540578 133189232 137729774 140932792 157405456 216432502 233081156 275459548 281865584 432865004 466162312 550919096 757513757 865730008 932324624 1101838192 1515027514 1731460016 3030055028 6060110056 12120220112