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12012021011120 = 24513431051255571
BaseRepresentation
bin1010111011001100010000…
…1111101101001010110000
31120112100010101201201222112
42232303010033231022300
53033301104334323440
641314125110024452
72346561035636114
oct256630417551260
946470111651875
1012012021011120
1139112a6787439
121420015648128
13691961cccb10
142d7556309744
1515c6d8441965
hexaecc43ed2b0

12012021011120 has 160 divisors (see below), whose sum is σ = 30805103180544. Its totient is φ = 4327924608000.

The previous prime is 12012021010933. The next prime is 12012021011147. The reversal of 12012021011120 is 2111012021021.

12012021011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12012021011095 and 12012021011104.

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, 46872935 + ... + 47128505.

Almost surely, 212012021011120 is an apocalyptic number.

12012021011120 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 12012021011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15402551590272).

12012021011120 is an abundant number, since it is smaller than the sum of its proper divisors (18793082169424).

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

12012021011120 is a wasteful number, since it uses less digits than its factorization.

12012021011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256691 (or 256685 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12012021011120 its reverse (2111012021021), we get a palindrome (14123033032141).

The spelling of 12012021011120 in words is "twelve trillion, twelve billion, twenty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 130 172 208 215 260 344 430 520 559 688 860 1040 1051 1118 1720 2102 2236 2795 3440 4204 4472 5255 5590 8408 8944 10510 11180 13663 16816 21020 22360 27326 42040 44720 45193 54652 68315 84080 90386 109304 136630 180772 218608 225965 255571 273260 361544 451930 511142 546520 587509 723088 903860 1022284 1093040 1175018 1277855 1807720 2044568 2350036 2555710 2937545 3322423 3615440 4089136 4700072 5111420 5875090 6644846 9400144 10222840 10989553 11750180 13289692 16612115 20445680 21979106 23500360 26579384 33224230 43958212 47000720 53158768 54947765 66448460 87916424 109895530 132896920 142864189 175832848 219791060 265793840 268605121 285728378 439582120 537210242 571456756 714320945 879164240 1074420484 1142913512 1343025605 1428641890 2148840968 2285827024 2686051210 2857283780 3491866573 4297681936 5372102420 5714567560 6983733146 10744204840 11429135120 11550020203 13967466292 17459332865 21488409680 23100040406 27934932584 34918665730 46200080812 55869865168 57750101015 69837331460 92400161624 115500202030 139674662920 150150262639 184800323248 231000404060 279349325840 300300525278 462000808120 600601050556 750751313195 924001616240 1201202101112 1501502626390 2402404202224 3003005252780 6006010505560 12012021011120