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12240334320 = 24351912571039
BaseRepresentation
bin10110110011001010…
…01010110111110000
31011121001100102001120
423121211022313300
5200032011144240
65342332502240
7612220060614
oct133145126760
934531312046
1012240334320
115211393385
12245731a980
131200ba1896
148418dd344
154b98e5ad0
hex2d994adf0

12240334320 has 160 divisors (see below), whose sum is σ = 38328975360. Its totient is φ = 3231252480.

The previous prime is 12240334289. The next prime is 12240334333. The reversal of 12240334320 is 2343304221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 11780361 + ... + 11781399.

It is an arithmetic number, because the mean of its divisors is an integer number (239556096).

Almost surely, 212240334320 is an apocalyptic number.

12240334320 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 12240334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19164487680).

12240334320 is an abundant number, since it is smaller than the sum of its proper divisors (26088641040).

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

12240334320 is a wasteful number, since it uses less digits than its factorization.

12240334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12240334320 its reverse (2343304221), we get a palindrome (14583638541).

The spelling of 12240334320 in words is "twelve billion, two hundred forty million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 257 382 514 573 764 771 955 1028 1039 1146 1285 1528 1542 1910 2056 2078 2292 2570 2865 3056 3084 3117 3820 3855 4112 4156 4584 5140 5195 5730 6168 6234 7640 7710 8312 9168 10280 10390 11460 12336 12468 15280 15420 15585 16624 20560 20780 22920 24936 30840 31170 41560 45840 49087 49872 61680 62340 83120 98174 124680 147261 196348 198449 245435 249360 267023 294522 392696 396898 490870 534046 589044 595347 736305 785392 793796 801069 981740 992245 1068092 1178088 1190694 1335115 1472610 1587592 1602138 1963480 1984490 2136184 2356176 2381388 2670230 2945220 2976735 3175184 3204276 3926960 3968980 4005345 4272368 4762776 5340460 5890440 5953470 6408552 7937960 8010690 9525552 10680920 11780880 11906940 12817104 15875920 16021380 21361840 23813880 32042760 47627760 51001393 64085520 102002786 153004179 204005572 255006965 306008358 408011144 510013930 612016716 765020895 816022288 1020027860 1224033432 1530041790 2040055720 2448066864 3060083580 4080111440 6120167160 12240334320