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1200212300320 = 255112365916943
BaseRepresentation
bin10001011101110010001…
…110100101001000100000
311020201221212012002021021
4101131302032211020200
5124131013322102240
62315211522535224
7152466244140265
oct21356216451040
94221855162237
101200212300320
11423009610500
12174738807514
138924458a8b7
144213a7cd26c
152134867454a
hex117723a5220

1200212300320 has 144 divisors (see below), whose sum is σ = 3117744120960. Its totient is φ = 436295805440.

The previous prime is 1200212300317. The next prime is 1200212300377. The reversal of 1200212300320 is 230032120021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1200212300294 and 1200212300303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70829769 + ... + 70846711.

It is an arithmetic number, because the mean of its divisors is an integer number (21651000840).

Almost surely, 21200212300320 is an apocalyptic number.

1200212300320 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 1200212300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558872060480).

1200212300320 is an abundant number, since it is smaller than the sum of its proper divisors (1917531820640).

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

1200212300320 is a wasteful number, since it uses less digits than its factorization.

1200212300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20639 (or 20620 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1200212300320 its reverse (230032120021), we get a palindrome (1430244420341).

The spelling of 1200212300320 in words is "one trillion, two hundred billion, two hundred twelve million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3659 3872 4840 7318 9680 14636 16943 18295 19360 29272 33886 36590 40249 58544 67772 73180 80498 84715 117088 135544 146360 160996 169430 186373 201245 271088 292720 321992 338860 372746 402490 442739 542176 585440 643984 677720 745492 804980 885478 931865 1287968 1355440 1490984 1609960 1770956 1863730 2050103 2213695 2710880 2981968 3219920 3541912 3727460 4100206 4427390 5963936 6439840 7083824 7454920 8200412 8854780 10250515 14167648 14909840 16400824 17709560 20501030 29819680 32801648 35419120 41002060 61994437 65603296 70838240 82004120 123988874 164008240 247977748 309972185 328016480 495955496 619944370 681938807 991910992 1239888740 1363877614 1983821984 2479777480 2727755228 3409694035 4959554960 5455510456 6819388070 7501326877 9919109920 10911020912 13638776140 15002653754 21822041824 27277552280 30005307508 37506634385 54555104560 60010615016 75013268770 109110209120 120021230032 150026537540 240042460064 300053075080 600106150160 1200212300320