Search a number
-
+
12011201222220 = 22325193794920193
BaseRepresentation
bin1010111011001001001101…
…1000011101011001001100
31120112021000021011011000200
42232302103120131121030
53033242420003102340
641313511503053500
72346531522563034
oct256622330353114
946467007134020
1012011201222220
113910a15a5a952
12141ba26ba1290
1369186120b925
142d74b94ac8c4
1515c68b4ab330
hexaec9361d64c

12011201222220 has 144 divisors (see below), whose sum is σ = 39388083702240. Its totient is φ = 2952397651968.

The previous prime is 12011201222191. The next prime is 12011201222263. The reversal of 12011201222220 is 2222210211021.

It is a happy number.

12011201222220 is a `hidden beast` number, since 1 + 20 + 1 + 1 + 201 + 222 + 220 = 666.

12011201222220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12011201222193 and 12011201222202.

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, 47333557 + ... + 47586636.

Almost surely, 212011201222220 is an apocalyptic number.

12011201222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011201222220 is an abundant number, since it is smaller than the sum of its proper divisors (27376882480020).

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

12011201222220 is a wasteful number, since it uses less digits than its factorization.

12011201222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94920264 (or 94920259 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12011201222220 its reverse (2222210211021), we get a palindrome (14233411433241).

The spelling of 12011201222220 in words is "twelve trillion, eleven billion, two hundred one million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 37 38 45 57 60 74 76 90 95 111 114 148 171 180 185 190 222 228 285 333 342 370 380 444 555 570 666 684 703 740 855 1110 1140 1332 1406 1665 1710 2109 2220 2812 3330 3420 3515 4218 6327 6660 7030 8436 10545 12654 14060 21090 25308 31635 42180 63270 126540 94920193 189840386 284760579 379680772 474600965 569521158 854281737 949201930 1139042316 1423802895 1708563474 1803483667 1898403860 2847605790 3417126948 3512047141 3606967334 4271408685 5410451001 5695211580 7024094282 7213934668 8542817370 9017418335 10536141423 10820902002 14048188564 16231353003 17085634740 17560235705 18034836670 21072282846 21641804004 27052255005 31608424269 32462706006 35120471410 36069673340 42144565692 52680707115 54104510010 63216848538 64925412012 66728895679 70240942820 81156765015 105361414230 108209020020 126433697076 133457791358 158042121345 162313530030 200186687037 210722828460 266915582716 316084242690 324627060060 333644478395 400373374074 600560061111 632168485380 667288956790 800746748148 1000933435185 1201120122222 1334577913580 2001866870370 2402240244444 3002800305555 4003733740740 6005600611110 12011201222220