Search a number
-
+
12611203120 = 245411392199
BaseRepresentation
bin10111011111010111…
…11011000000110000
31012112220012111102001
423233223323000300
5201311431444440
65443221503344
7624342313015
oct135753730060
935486174361
1012611203120
11539177161a
12253b571b54
13125c983789
14878c7d70c
154dc252b9a
hex2efafb030

12611203120 has 120 divisors (see below), whose sum is σ = 30405866400. Its totient is φ = 4861486080.

The previous prime is 12611203069. The next prime is 12611203133. The reversal of 12611203120 is 2130211621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63372781 + ... + 63372979.

It is an arithmetic number, because the mean of its divisors is an integer number (253382220).

Almost surely, 212611203120 is an apocalyptic number.

12611203120 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 12611203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15202933200).

12611203120 is an abundant number, since it is smaller than the sum of its proper divisors (17794663280).

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

12611203120 is a wasteful number, since it uses less digits than its factorization.

12611203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12611203120 its reverse (2130211621), we get a palindrome (14741414741).

The spelling of 12611203120 in words is "twelve billion, six hundred eleven million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 139 164 199 205 278 328 398 410 556 656 695 796 820 995 1112 1390 1592 1640 1990 2224 2780 3184 3280 3980 5560 5699 7960 8159 11120 11398 15920 16318 19321 22796 27661 28495 32636 38642 40795 45592 55322 56990 65272 77284 81590 91184 96605 110644 113980 130544 138305 154568 163180 193210 221288 227960 276610 309136 326360 386420 442576 455920 553220 652720 772840 792161 1106440 1134101 1545680 1584322 2212880 2268202 3168644 3844879 3960805 4536404 5670505 6337288 7689758 7921610 9072808 11341010 12674576 15379516 15843220 18145616 19224395 22682020 30759032 31686440 38448790 45364040 61518064 63372880 76897580 90728080 153795160 157640039 307590320 315280078 630560156 788200195 1261120312 1576400390 2522240624 3152800780 6305601560 12611203120