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12085321600 = 275211343333
BaseRepresentation
bin10110100000101011…
…10101111110000000
31011012020122221120201
423100111311332000
5144222320242400
65315114214544
7605325352522
oct132025657600
934166587521
1012085321600
115141937aa0
122413424454
1311a7a39191
148290aba12
154aaec606a
hex2d0575f80

12085321600 has 96 divisors (see below), whose sum is σ = 32568663240. Its totient is φ = 4394649600.

The previous prime is 12085321597. The next prime is 12085321601. The reversal of 12085321600 is 612358021.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085321601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136467 + ... + 206866.

Almost surely, 212085321600 is an apocalyptic number.

12085321600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12085321600 is an abundant number, since it is smaller than the sum of its proper divisors (20483341640).

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

12085321600 is a wasteful number, since it uses less digits than its factorization.

12085321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343368 (or 343351 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 12085321600 its reverse (612358021), we get a palindrome (12697679621).

The spelling of 12085321600 in words is "twelve billion, eighty-five million, three hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 275 320 352 400 440 550 640 704 800 880 1100 1408 1600 1760 2200 3200 3520 4400 7040 8800 17600 35200 343333 686666 1373332 1716665 2746664 3433330 3776663 5493328 6866660 7553326 8583325 10986656 13733320 15106652 17166650 18883315 21973312 27466640 30213304 34333300 37766630 43946624 54933280 60426608 68666600 75533260 94416575 109866560 120853216 137333200 151066520 188833150 219733120 241706432 274666400 302133040 377666300 483412864 549332800 604266080 755332600 1098665600 1208532160 1510665200 2417064320 3021330400 6042660800 12085321600