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12004403024320 = 265715734134449
BaseRepresentation
bin1010111010101111111000…
…1011011001000111000000
31120111121110111010220200021
42232223332023121013000
53033140004133234240
641310425134103224
72346201204055060
oct256537613310700
946447414126607
1012004403024320
11390904760a183
12141a64a34ab14
13691019971315
142d70326833a0
1515c3de75554a
hexaeafe2d91c0

12004403024320 has 112 divisors (see below), whose sum is σ = 32877209937600. Its totient is φ = 4089579945984.

The previous prime is 12004403024309. The next prime is 12004403024321. The reversal of 12004403024320 is 2342030440021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×120044030243202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004403024321) by changing a digit.

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, 16715545 + ... + 17418904.

It is an arithmetic number, because the mean of its divisors is an integer number (293546517300).

Almost surely, 212004403024320 is an apocalyptic number.

12004403024320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12004403024320 is an abundant number, since it is smaller than the sum of its proper divisors (20872806913280).

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

12004403024320 is a wasteful number, since it uses less digits than its factorization.

12004403024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34134630 (or 34134620 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 12004403024320 its reverse (2342030440021), we get a palindrome (14346433464341).

The spelling of 12004403024320 in words is "twelve trillion, four billion, four hundred three million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 157 160 224 280 314 320 448 560 628 785 1099 1120 1256 1570 2198 2240 2512 3140 4396 5024 5495 6280 8792 10048 10990 12560 17584 21980 25120 35168 43960 50240 70336 87920 175840 351680 34134449 68268898 136537796 170672245 238941143 273075592 341344490 477882286 546151184 682688980 955764572 1092302368 1194705715 1365377960 1911529144 2184604736 2389411430 2730755920 3823058288 4778822860 5359108493 5461511840 7646116576 9557645720 10718216986 10923023680 15292233152 19115291440 21436433972 26795542465 37513759451 38230582880 42872867944 53591084930 75027518902 76461165760 85745735888 107182169860 150055037804 171491471776 187568797255 214364339720 300110075608 342982943552 375137594510 428728679440 600220151216 750275189020 857457358880 1200440302432 1500550378040 1714914717760 2400880604864 3001100756080 6002201512160 12004403024320