Search a number
-
+
12001102201220 = 22511256318894663
BaseRepresentation
bin1010111010100011100101…
…1011110000000110000100
31120111021221110001201121212
42232220321123300012010
53033111224130414340
641305121422030552
72346023333404106
oct256507133600604
946437843051555
1012001102201220
113907703362a00
121419a88a18458
13690911b61462
142d6bdc131576
1515c299a8da65
hexaea396f0184

12001102201220 has 144 divisors (see below), whose sum is σ = 27771566739840. Its totient is φ = 4353045903360.

The previous prime is 12001102201199. The next prime is 12001102201327. The reversal of 12001102201220 is 2210220110021.

It is a junction number, because it is equal to n+sod(n) for n = 12001102201195 and 12001102201204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2573684609 + ... + 2573689271.

It is an arithmetic number, because the mean of its divisors is an integer number (192858102360).

Almost surely, 212001102201220 is an apocalyptic number.

12001102201220 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 12001102201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13885783369920).

12001102201220 is an abundant number, since it is smaller than the sum of its proper divisors (15770464538620).

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

12001102201220 is a wasteful number, since it uses less digits than its factorization.

12001102201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7146 (or 7133 counting only the distinct ones).

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

Adding to 12001102201220 its reverse (2210220110021), we get a palindrome (14211322311241).

The spelling of 12001102201220 in words is "twelve trillion, one billion, one hundred two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 563 605 1126 1210 1889 2252 2420 2815 3778 4663 5630 6193 7556 9326 9445 11260 12386 18652 18890 20779 23315 24772 30965 37780 41558 46630 51293 61930 68123 83116 93260 102586 103895 123860 136246 205172 207790 228569 256465 272492 340615 415580 457138 512930 564223 681230 914276 1025860 1063507 1128446 1142845 1362460 2127014 2256892 2285690 2625269 2821115 4254028 4571380 5250538 5317535 5642230 8808407 10501076 10635070 11284460 11698577 13126345 17616814 21270140 23397154 26252690 28877959 35233628 44042035 46794308 52505380 57755918 58492885 88084070 96892477 115511836 116985770 128684347 144389795 176168140 193784954 233971540 257368694 288779590 317657549 387569908 484462385 514737388 577559180 635315098 643421735 968924770 1065817247 1270630196 1286843470 1588287745 1937849540 2131634494 2573686940 3176575490 4263268988 4959133141 5329086235 6353150980 9918266282 10658172470 19836532564 21316344940 24795665705 49591331410 54550464551 99182662820 109100929102 218201858204 272752322755 545504645510 600055110061 1091009291020 1200110220122 2400220440244 3000275550305 6000551100610 12001102201220