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12014403233200 = 2452412008936467
BaseRepresentation
bin1010111011010101001000…
…1111001010010110110000
31120112120021102022011022221
42232311102033022112300
53033320444211430300
641315201325210424
72350004053330024
oct256652217122660
946476242264287
1012014403233200
113912309457115
12142057b400a14
13691c51702894
142d770085c384
1515c7c765531a
hexaed523ca5b0

12014403233200 has 120 divisors (see below), whose sum is σ = 29570901247440. Its totient is φ = 4688185651200.

The previous prime is 12014403233153. The next prime is 12014403233279. The reversal of 12014403233200 is 233230441021.

12014403233200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120144032332002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329441367 + ... + 329477833.

It is an arithmetic number, because the mean of its divisors is an integer number (246424177062).

Almost surely, 212014403233200 is an apocalyptic number.

12014403233200 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 12014403233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14785450623720).

12014403233200 is an abundant number, since it is smaller than the sum of its proper divisors (17556498014240).

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

12014403233200 is a wasteful number, since it uses less digits than its factorization.

12014403233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56615 (or 56604 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 12014403233200 its reverse (233230441021), we get a palindrome (12247633674221).

The spelling of 12014403233200 in words is "twelve trillion, fourteen billion, four hundred three million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 8200 16400 20089 36467 40178 72934 80356 100445 145868 160712 182335 200890 291736 321424 364670 401780 502225 583472 729340 803560 823649 911675 1004450 1458680 1495147 1607120 1647298 1823350 2008900 2917360 2990294 3294596 3646700 4017800 4118245 5980588 6589192 7293400 7475735 8035600 8236490 11961176 13178384 14586800 14951470 16472980 20591225 23922352 29902940 32945960 37378675 41182450 59805880 65891920 74757350 82364900 119611760 149514700 164729800 299029400 329459600 598058800 732585563 1465171126 2930342252 3662927815 5860684504 7325855630 11721369008 14651711260 18314639075 29303422520 30036008083 36629278150 58606845040 60072016166 73258556300 120144032332 146517112600 150180040415 240288064664 293034225200 300360080830 480576129328 600720161660 750900202075 1201440323320 1501800404150 2402880646640 3003600808300 6007201616600 12014403233200