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12010212012120 = 2335720149709607
BaseRepresentation
bin1010111011000101100001…
…1010111011000001011000
31120112011110022210001212120
42232301120122323001120
53033233403233341440
641313225404541240
72346465151461420
oct256613032730130
946464408701776
1012010212012120
113910558636743
12141b7ab851820
136917342ab9ca
142d7423d6d480
1515c62e70bdd0
hexaec586bb058

12010212012120 has 128 divisors (see below), whose sum is σ = 41179971456000. Its totient is φ = 2745051204096.

The previous prime is 12010212012107. The next prime is 12010212012137. The reversal of 12010212012120 is 2121021201021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12010212012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16570357 + ... + 17279963.

It is an arithmetic number, because the mean of its divisors is an integer number (321718527000).

Almost surely, 212010212012120 is an apocalyptic number.

12010212012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010212012120 is an abundant number, since it is smaller than the sum of its proper divisors (29169759443880).

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

12010212012120 is a wasteful number, since it uses less digits than its factorization.

12010212012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729777 (or 729773 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12010212012120 its reverse (2121021201021), we get a palindrome (14131233213141).

The spelling of 12010212012120 in words is "twelve trillion, ten billion, two hundred twelve million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 20149 40298 60447 80596 100745 120894 141043 161192 201490 241788 282086 302235 402980 423129 483576 564172 604470 705215 709607 805960 846258 1128344 1208940 1410430 1419214 1692516 2115645 2128821 2417880 2820860 2838428 3385032 3548035 4231290 4257642 4967249 5641720 5676856 7096070 8462580 8515284 9934498 10644105 14192140 14901747 16925160 17030568 19868996 21288210 24836245 28384280 29803494 39737992 42576420 49672490 59606988 74508735 85152840 99344980 119213976 149017470 198689960 298034940 596069880 14297871443 28595742886 42893614329 57191485772 71489357215 85787228658 100085100101 114382971544 142978714430 171574457316 200170200202 214468071645 285957428860 300255300303 343148914632 400340400404 428936143290 500425500505 571914857720 600510600606 800680800808 857872286580 1000851001010 1201021201212 1501276501515 1715744573160 2001702002020 2402042402424 3002553003030 4003404004040 6005106006060 12010212012120