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12325344000 = 28353128389
BaseRepresentation
bin10110111101010010…
…11101001100000000
31011210222022100102020
423132221131030000
5200220242002000
65355010521440
7614301460344
oct133651351400
934728270366
1012325344000
115255376412
12247b896280
131215697278
1484cd0b624
154c20d8ba0
hex2dea5d300

12325344000 has 144 divisors (see below), whose sum is σ = 40938948960. Its totient is φ = 3286732800.

The previous prime is 12325343981. The next prime is 12325344011. The reversal of 12325344000 is 44352321.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31806 + ... + 160194.

Almost surely, 212325344000 is an apocalyptic number.

12325344000 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 12325344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20469474480).

12325344000 is an abundant number, since it is smaller than the sum of its proper divisors (28613604960).

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

12325344000 is an equidigital number, since it uses as much as digits as its factorization.

12325344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128423 (or 128399 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 12325344000 its reverse (44352321), we get a palindrome (12369696321).

The spelling of 12325344000 in words is "twelve billion, three hundred twenty-five million, three hundred forty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 96000 128389 256778 385167 513556 641945 770334 1027112 1283890 1540668 1925835 2054224 2567780 3081336 3209725 3851670 4108448 5135560 6162672 6419450 7703340 8216896 9629175 10271120 12325344 12838900 15406680 16048625 16433792 19258350 20542240 24650688 25677800 30813360 32097250 32867584 38516700 41084480 48145875 49301376 51355600 61626720 64194500 77033400 82168960 96291750 98602752 102711200 123253440 128389000 154066800 164337920 192583500 205422400 246506880 256778000 308133600 385167000 410844800 493013760 513556000 616267200 770334000 821689600 1027112000 1232534400 1540668000 2054224000 2465068800 3081336000 4108448000 6162672000 12325344000