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12010301210200 = 23524631109116953
BaseRepresentation
bin1010111011000101110110…
…1111001011111001011000
31120112011200112121210122011
42232301131233023321120
53033234044102211300
641313242312435304
72346500313604216
oct256613557137130
946464615553564
1012010301210200
1139105a3a1a567
12141b8156a8b34
1369174990c937
142d7431b4bcb6
1515c63747aeba
hexaec5dbcbe58

12010301210200 has 96 divisors (see below), whose sum is σ = 28009734494400. Its totient is φ = 4789380879360.

The previous prime is 12010301210179. The next prime is 12010301210239. The reversal of 12010301210200 is 201210301021.

It is a super-5 number, since 5×120103012102005 (a number of 67 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102634924 + ... + 102751876.

It is an arithmetic number, because the mean of its divisors is an integer number (291768067650).

Almost surely, 212010301210200 is an apocalyptic number.

12010301210200 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 12010301210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004867247200).

12010301210200 is an abundant number, since it is smaller than the sum of its proper divisors (15999433284200).

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

12010301210200 is a wasteful number, since it uses less digits than its factorization.

12010301210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118541 (or 118532 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12010301210200 its reverse (201210301021), we get a palindrome (12211511511221).

The spelling of 12010301210200 in words is "twelve trillion, ten billion, three hundred one million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 463 926 1109 1852 2218 2315 3704 4436 4630 5545 8872 9260 11090 11575 18520 22180 23150 27725 44360 46300 55450 92600 110900 116953 221800 233906 467812 513467 584765 935624 1026934 1169530 2053868 2339060 2567335 2923825 4107736 4678120 5134670 5847650 10269340 11695300 12836675 20538680 23390600 25673350 51346700 54149239 102693400 108298478 129700877 216596956 259401754 270746195 433193912 518803508 541492390 648504385 1037607016 1082984780 1297008770 1353730975 2165969560 2594017540 2707461950 3242521925 5188035080 5414923900 6485043850 10829847800 12970087700 25940175400 60051506051 120103012102 240206024204 300257530255 480412048408 600515060510 1201030121020 1501287651275 2402060242040 3002575302550 6005150605100 12010301210200