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12010220012120 = 23511251669116253
BaseRepresentation
bin1010111011000101100011…
…1001011100001001011000
31120112011110212211111210212
42232301120321130021120
53033233412310341440
641313230252230252
72346465306461141
oct256613071341130
946464425744725
1012010220012120
113910562100210
12141b7b246b388
13691735b50135
142d7425052ac8
1515c63028c465
hexaec58e5c258

12010220012120 has 128 divisors (see below), whose sum is σ = 29603324378880. Its totient is φ = 4349035200000.

The previous prime is 12010220012083. The next prime is 12010220012123. The reversal of 12010220012120 is 2121002201021.

It is a junction number, because it is equal to n+sod(n) for n = 12010220012095 and 12010220012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010220012123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738945914 + ... + 738962166.

It is an arithmetic number, because the mean of its divisors is an integer number (231275971710).

Almost surely, 212010220012120 is an apocalyptic number.

12010220012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010220012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14801662189440).

12010220012120 is an abundant number, since it is smaller than the sum of its proper divisors (17593104366760).

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

12010220012120 is a wasteful number, since it uses less digits than its factorization.

12010220012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23217 (or 23213 counting only the distinct ones).

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

Adding to 12010220012120 its reverse (2121002201021), we get a palindrome (14131222213141).

The spelling of 12010220012120 in words is "twelve trillion, ten billion, two hundred twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 251 440 502 1004 1255 2008 2510 2761 5020 5522 6691 10040 11044 13382 13805 16253 22088 26764 27610 32506 33455 53528 55220 65012 66910 73601 81265 110440 130024 133820 147202 162530 178783 267640 294404 325060 357566 368005 588808 650120 715132 736010 893915 1430264 1472020 1679441 1787830 2944040 3358882 3575660 4079503 6717764 7151320 8159006 8397205 13435528 16318012 16794410 18473851 20397515 32636024 33588820 36947702 40795030 44874533 67177640 73895404 81590060 89749066 92369255 108748823 147790808 163180120 179498132 184738510 217497646 224372665 358996264 369477020 434995292 448745330 543744115 738954040 869990584 897490660 1087488230 1196237053 1794981320 2174976460 2392474106 4349952920 4784948212 5981185265 9569896424 11962370530 23924741060 27295954573 47849482120 54591909146 109183818292 136479772865 218367636584 272959545730 300255500303 545919091460 600511000606 1091838182920 1201022001212 1501277501515 2402044002424 3002555003030 6005110006060 12010220012120