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12231033224000 = 265311531326001
BaseRepresentation
bin1011000111111100001001…
…1000111111101101000000
31121022021102201211220112112
42301333002120333231000
53100343124001132000
642002505321514452
72401443256013153
oct261770230775500
947267381756475
1012231033224000
113996174435568
121456558342a28
136a94c61745a6
14303db1423c9a
15163255a64235
hexb1fc263fb40

12231033224000 has 112 divisors (see below), whose sum is σ = 30316447374096. Its totient is φ = 4888166400000.

The previous prime is 12231033223931. The next prime is 12231033224021. The reversal of 12231033224000 is 42233013221.

It can be written as a sum of positive squares in 8 ways, for example, as 1384971215104 + 10846062008896 = 1176848^2 + 3293336^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8561000 + ... + 9887000.

Almost surely, 212231033224000 is an apocalyptic number.

12231033224000 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 12231033224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15158223687048).

12231033224000 is an abundant number, since it is smaller than the sum of its proper divisors (18085414150096).

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

12231033224000 is a wasteful number, since it uses less digits than its factorization.

12231033224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327181 (or 1327161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12231033224000 its reverse (42233013221), we get a palindrome (12273266237221).

The spelling of 12231033224000 in words is "twelve trillion, two hundred thirty-one billion, thirty-three million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1153 1600 2000 2306 4000 4612 5765 8000 9224 11530 18448 23060 28825 36896 46120 57650 73792 92240 115300 144125 184480 230600 288250 368960 461200 576500 922400 1153000 1326001 1844800 2306000 2652002 4612000 5304004 6630005 9224000 10608008 13260010 21216016 26520020 33150025 42432032 53040040 66300050 84864064 106080080 132600100 165750125 212160160 265200200 331500250 424320320 530400400 663000500 1060800800 1326001000 1528879153 2121601600 2652002000 3057758306 5304004000 6115516612 7644395765 10608008000 12231033224 15288791530 24462066448 30577583060 38221978825 48924132896 61155166120 76443957650 97848265792 122310332240 152887915300 191109894125 244620664480 305775830600 382219788250 489241328960 611551661200 764439576500 1223103322400 1528879153000 2446206644800 3057758306000 6115516612000 12231033224000