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12221311200 = 253527727459
BaseRepresentation
bin10110110000111001…
…00110100011100000
31011112201112221020120
423120130212203200
5200012123424300
65340413040240
7611566300620
oct133034464340
934481487216
1012221311200
11520167aa9a
122450a86080
1311c9c70cb7
1483d18a880
154b7dd93a0
hex2d87268e0

12221311200 has 144 divisors (see below), whose sum is σ = 45463340160. Its totient is φ = 2793438720.

The previous prime is 12221311171. The next prime is 12221311231. The reversal of 12221311200 is 211312221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221311200.

It is a congruent number.

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, 346930 + ... + 380529.

It is an arithmetic number, because the mean of its divisors is an integer number (315717640).

Almost surely, 212221311200 is an apocalyptic number.

12221311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221311200 is an abundant number, since it is smaller than the sum of its proper divisors (33242028960).

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

12221311200 is a wasteful number, since it uses less digits than its factorization.

12221311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727489 (or 727476 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12221311200 its reverse (211312221), we get a palindrome (12432623421).

The spelling of 12221311200 in words is "twelve billion, two hundred twenty-one million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 727459 1454918 2182377 2909836 3637295 4364754 5092213 5819672 7274590 8729508 10184426 10911885 11639344 14549180 15276639 17459016 18186475 20368852 21823770 23278688 25461065 29098360 30553278 34918032 36372950 40737704 43647540 50922130 54559425 58196720 61106556 69836064 72745900 76383195 81475408 87295080 101844260 109118850 116393440 122213112 127305325 145491800 152766390 162950816 174590160 203688520 218237700 244426224 254610650 290983600 305532780 349180320 381915975 407377040 436475400 488852448 509221300 581967200 611065560 763831950 814754080 872950800 1018442600 1222131120 1527663900 1745901600 2036885200 2444262240 3055327800 4073770400 6110655600 12221311200