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12020120210010 = 23511199227207769
BaseRepresentation
bin1010111011101010011011…
…1111101100101001011010
31120120010000211210200011210
42232322212333230221122
53033414201233210020
641321544512003550
72350265532663633
oct256724677545132
946503024720153
1012020120210010
113914782549440
1214216b5b305b6
13692652c65bb3
142d7ac3c3688a
1515ca0e4d43e0
hexaeea6feca5a

12020120210010 has 128 divisors (see below), whose sum is σ = 33130970956800. Its totient is φ = 2760289297920.

The previous prime is 12020120209969. The next prime is 12020120210023. The reversal of 12020120210010 is 1001202102021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57749406 + ... + 57957174.

It is an arithmetic number, because the mean of its divisors is an integer number (258835710600).

Almost surely, 212020120210010 is an apocalyptic number.

12020120210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020120210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16565485478400).

12020120210010 is an abundant number, since it is smaller than the sum of its proper divisors (21110850746790).

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

12020120210010 is a wasteful number, since it uses less digits than its factorization.

12020120210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217036.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12020120210010 its reverse (1001202102021), we get a palindrome (13021322312031).

The spelling of 12020120210010 in words is "twelve trillion, twenty billion, one hundred twenty million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 9227 18454 27681 46135 55362 92270 101497 138405 175313 202994 207769 276810 304491 350626 415538 507485 525939 608982 623307 876565 1014970 1038845 1051878 1246614 1522455 1753130 1928443 2077690 2285459 2629695 3044910 3116535 3856886 3947611 4570918 5259390 5785329 6233070 6856377 7895222 9642215 11427295 11570658 11842833 13712754 19284430 19738055 22854590 23685666 28926645 34281885 39476110 43423721 57853290 59214165 68563770 86847442 118428330 130271163 217118605 260542326 434237210 651355815 1302711630 1917084563 3834169126 5751253689 9585422815 11502507378 19170845630 21087930193 28756268445 36424606697 42175860386 57512536890 63263790579 72849213394 105439650965 109273820091 126527581158 182123033485 210879301930 218547640182 316318952895 364246066970 400670673667 546369100455 632637905790 801341347334 1092738200910 1202012021001 2003353368335 2404024042002 4006706736670 6010060105005 12020120210010