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12001231011200 = 275210934407199
BaseRepresentation
bin1010111010100100000100…
…0111000111110110000000
31120111022021102102221200212
42232221001013013312000
53033112010114324300
641305142302533252
72346026456310314
oct256510107076600
946438242387625
1012001231011200
11390776a041832
121419b03b97228
13690932751392
142d6c112a1b44
1515c2a6034935
hexaea411c7d80

12001231011200 has 96 divisors (see below), whose sum is σ = 29918780760000. Its totient is φ = 4756451051520.

The previous prime is 12001231011199. The next prime is 12001231011283. The reversal of 12001231011200 is 211013210021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16854800 + ... + 17552399.

It is an arithmetic number, because the mean of its divisors is an integer number (311653966250).

Almost surely, 212001231011200 is an apocalyptic number.

12001231011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001231011200 is an abundant number, since it is smaller than the sum of its proper divisors (17917549748800).

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

12001231011200 is a wasteful number, since it uses less digits than its factorization.

12001231011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34407332 (or 34407315 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12001231011200 its reverse (211013210021), we get a palindrome (12212244221221).

The spelling of 12001231011200 in words is "twelve trillion, one billion, two hundred thirty-one million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 109 128 160 200 218 320 400 436 545 640 800 872 1090 1600 1744 2180 2725 3200 3488 4360 5450 6976 8720 10900 13952 17440 21800 34880 43600 69760 87200 174400 348800 34407199 68814398 137628796 172035995 275257592 344071990 550515184 688143980 860179975 1101030368 1376287960 1720359950 2202060736 2752575920 3440719900 3750384691 4404121472 5505151840 6881439800 7500769382 11010303680 13762879600 15001538764 18751923455 22020607360 27525759200 30003077528 37503846910 55051518400 60006155056 75007693820 93759617275 110103036800 120012310112 150015387640 187519234550 240024620224 300030775280 375038469100 480049240448 600061550560 750076938200 1200123101120 1500153876400 2400246202240 3000307752800 6000615505600 12001231011200