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12031322003200 = 28522339803717
BaseRepresentation
bin1010111100010100001010…
…1011001001011100000000
31120121011221111221201122001
42233011002223021130000
53034110121413100300
641331040225153344
72351143242443053
oct257050253113400
946534844851561
1012031322003200
113919500684465
12142390148b854
13693719924aa6
142d8467834a9a
1515ce67b3416a
hexaf142ac9700

12031322003200 has 108 divisors (see below), whose sum is σ = 29792170600920. Its totient is φ = 4810465300480.

The previous prime is 12031322003153. The next prime is 12031322003201. The reversal of 12031322003200 is 230022313021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031322003201) 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, 14567742 + ... + 15371458.

It is an arithmetic number, because the mean of its divisors is an integer number (275853431490).

Almost surely, 212031322003200 is an apocalyptic number.

12031322003200 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 12031322003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14896085300460).

12031322003200 is an abundant number, since it is smaller than the sum of its proper divisors (17760848597720).

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

12031322003200 is an equidigital number, since it uses as much as digits as its factorization.

12031322003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806082 (or 806063 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12031322003200 its reverse (230022313021), we get a palindrome (12261344316221).

The spelling of 12031322003200 in words is "twelve trillion, thirty-one billion, three hundred twenty-two million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 2339 3200 4678 6400 9356 11695 18712 23390 37424 46780 58475 74848 93560 116950 149696 187120 233900 299392 374240 467800 598784 748480 803717 935600 1496960 1607434 1871200 2993920 3214868 3742400 4018585 6429736 7484800 8037170 12859472 14969600 16074340 20092925 25718944 32148680 40185850 51437888 64297360 80371700 102875776 128594720 160743400 205751552 257189440 321486800 514378880 642973600 1028757760 1285947200 1879894063 2571894400 3759788126 5143788800 7519576252 9399470315 15039152504 18798940630 30078305008 37597881260 46997351575 60156610016 75195762520 93994703150 120313220032 150391525040 187989406300 240626440064 300783050080 375978812600 481252880128 601566100160 751957625200 1203132200320 1503915250400 2406264400640 3007830500800 6015661001600 12031322003200