Search a number
-
+
12232124040 = 23352319922271
BaseRepresentation
bin10110110010001011…
…10110011010001000
31011120110220021200010
423121011312122020
5200022410432130
65341440511520
7612060224133
oct133105663210
934513807603
1012232124040
115207795924
12245461b5a0
1311cc288826
148407a321a
154b8d230b0
hex2d9176688

12232124040 has 128 divisors (see below), whose sum is σ = 38486016000. Its totient is φ = 3104259840.

The previous prime is 12232124011. The next prime is 12232124077. The reversal of 12232124040 is 4042123221.

It is a junction number, because it is equal to n+sod(n) for n = 12232123998 and 12232124016.

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, 538105 + ... + 560375.

It is an arithmetic number, because the mean of its divisors is an integer number (300672000).

Almost surely, 212232124040 is an apocalyptic number.

12232124040 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 12232124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19243008000).

12232124040 is an abundant number, since it is smaller than the sum of its proper divisors (26253891960).

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

12232124040 is a wasteful number, since it uses less digits than its factorization.

12232124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22507 (or 22503 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12232124040 its reverse (4042123221), we get a palindrome (16274247261).

The spelling of 12232124040 in words is "twelve billion, two hundred thirty-two million, one hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 199 230 276 345 398 460 552 597 690 796 920 995 1194 1380 1592 1990 2388 2760 2985 3980 4577 4776 5970 7960 9154 11940 13731 18308 22271 22885 23880 27462 36616 44542 45770 54924 66813 68655 89084 91540 109848 111355 133626 137310 178168 183080 222710 267252 274620 334065 445420 512233 534504 549240 668130 890840 1024466 1336260 1536699 2048932 2561165 2672520 3073398 4097864 4431929 5122330 6146796 7683495 8863858 10244660 12293592 13295787 15366990 17727716 20489320 22159645 26591574 30733980 35455432 44319290 53183148 61467960 66478935 88638580 101934367 106366296 132957870 177277160 203868734 265915740 305803101 407737468 509671835 531831480 611606202 815474936 1019343670 1223212404 1529015505 2038687340 2446424808 3058031010 4077374680 6116062020 12232124040