Search a number
-
+
12243255220112 = 2471743601248821
BaseRepresentation
bin1011001000101001101011…
…1000001101011110010000
31121100102222111200122022012
42302022122320031132100
53101043141314020422
642012250201402052
72402355164165660
oct262123270153620
947312874618265
1012243255220112
1139a03764330a4
1214589a9499328
136aa6c32c5257
1430481070c1a0
1516371da364e2
hexb229ae0d790

12243255220112 has 160 divisors (see below), whose sum is σ = 29421318415104. Its totient is φ = 4815562752000.

The previous prime is 12243255220103. The next prime is 12243255220151. The reversal of 12243255220112 is 21102255234221.

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, 49080662 + ... + 49329482.

Almost surely, 212243255220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12243255220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14710659207552).

12243255220112 is an abundant number, since it is smaller than the sum of its proper divisors (17178063194992).

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

12243255220112 is a wasteful number, since it uses less digits than its factorization.

12243255220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249497 (or 249491 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 12243255220112 in words is "twelve trillion, two hundred forty-three billion, two hundred fifty-five million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 43 56 68 86 112 119 136 172 238 272 301 344 476 601 602 688 731 952 1202 1204 1462 1904 2404 2408 2924 4207 4808 4816 5117 5848 8414 9616 10217 10234 11696 16828 20434 20468 25843 33656 40868 40936 51686 67312 71519 81736 81872 103372 143038 163472 180901 206744 248821 286076 361802 413488 439331 497642 572152 723604 878662 995284 1144304 1447208 1741747 1757324 1990568 2894416 3075317 3483494 3514648 3981136 4229957 6150634 6966988 7029296 8459914 10699303 12301268 13933976 16919828 21398606 24602536 27867952 29609699 33839656 42797212 49205072 59219398 67679312 74895121 85594424 118438796 149541421 149790242 171188848 181888151 236877592 299082842 299580484 363776302 473755184 598165684 599160968 727552604 1046789947 1196331368 1198321936 1273217057 1455105208 2093579894 2392662736 2542204157 2546434114 2910210416 4187159788 5084408314 5092868228 6430281103 8374319576 10168816628 10185736456 12860562206 16748639152 17795429099 20337633256 20371472912 25721124412 35590858198 40675266512 45011967721 51442248824 71181716396 90023935442 102884497648 109314778751 142363432792 180047870884 218629557502 284726865584 360095741768 437259115004 720191483536 765203451257 874518230008 1530406902514 1749036460016 3060813805028 6121627610056 12243255220112