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12221230123300 = 225211199376914813
BaseRepresentation
bin1011000111010111101000…
…0101001000100100100100
31121021100010112120210110211
42301311322011020210210
53100213034402421200
641554204451225204
72400645322022512
oct261657205104444
947240115523424
1012221230123300
113991aa3885950
1214546812a8204
136a85c31c6ca3
143037214b74b2
15162d800ebaba
hexb1d7a148924

12221230123300 has 144 divisors (see below), whose sum is σ = 29086044624000. Its totient is φ = 4420279987200.

The previous prime is 12221230123283. The next prime is 12221230123313. The reversal of 12221230123300 is 332103212221.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 47 ways as a sum of consecutive naturals, for example, 825026694 + ... + 825041506.

It is an arithmetic number, because the mean of its divisors is an integer number (201986421000).

Almost surely, 212221230123300 is an apocalyptic number.

12221230123300 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 12221230123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14543022312000).

12221230123300 is an abundant number, since it is smaller than the sum of its proper divisors (16864814500700).

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

12221230123300 is a wasteful number, since it uses less digits than its factorization.

12221230123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18806 (or 18799 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12221230123300 its reverse (332103212221), we get a palindrome (12553333335521).

The spelling of 12221230123300 in words is "twelve trillion, two hundred twenty-one billion, two hundred thirty million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 199 220 275 398 550 796 995 1100 1990 2189 3769 3980 4378 4975 7538 8756 9950 10945 14813 15076 18845 19900 21890 29626 37690 41459 43780 54725 59252 74065 75380 82918 94225 109450 148130 162943 165836 188450 207295 218900 296260 325886 370325 376900 414590 651772 740650 750031 814715 829180 1036475 1481300 1500062 1629430 2072950 2947787 3000124 3258860 3750155 4073575 4145900 5895574 7500310 8147150 8250341 11791148 14738935 15000620 16294300 16500682 18750775 29477870 32425657 33001364 37501550 41251705 55830197 58955740 64851314 73694675 75003100 82503410 111660394 129702628 147389350 162128285 165006820 206258525 223320788 279150985 294778700 324256570 412517050 558301970 614132167 648513140 810641425 825034100 1116603940 1228264334 1395754925 1621282850 2456528668 2791509850 3070660835 3242565700 5583019700 6141321670 11110209203 12282643340 15353304175 22220418406 30706608350 44440836812 55551046015 61413216700 111102092030 122212301233 222204184060 244424602466 277755230075 488849204932 555510460150 611061506165 1111020920300 1222123012330 2444246024660 3055307530825 6110615061650 12221230123300