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12221300 = 22527131779
BaseRepresentation
bin101110100111…
…101101110100
3211222220110202
4232213231310
511112040200
61113540032
7205610420
oct56475564
924886422
1012221300
116998053
124114618
1326bb950
1418a1b80
1511161d5
hexba7b74

12221300 has 144 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 3594240.

The previous prime is 12221273. The next prime is 12221327. The reversal of 12221300 is 312221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12221273) and next prime (12221327).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154661 + ... + 154739.

It is an arithmetic number, because the mean of its divisors is an integer number (243040).

Almost surely, 212221300 is an apocalyptic number.

12221300 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 12221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

12221300 is an abundant number, since it is smaller than the sum of its proper divisors (22776460).

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

12221300 is a wasteful number, since it uses less digits than its factorization.

12221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 12221300 is about 3495.8975957542. The cubic root of 12221300 is about 230.3416472675.

Adding to 12221300 its reverse (312221), we get a palindrome (12533521).

It can be divided in two parts, 12221 and 300, that added together give a palindrome (12521).

The spelling of 12221300 in words is "twelve million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 17 20 25 26 28 34 35 50 52 65 68 70 79 85 91 100 119 130 140 158 170 175 182 221 238 260 316 325 340 350 364 395 425 442 455 476 553 595 650 700 790 850 884 910 1027 1105 1106 1190 1300 1343 1547 1580 1700 1820 1975 2054 2210 2212 2275 2380 2686 2765 2975 3094 3950 4108 4420 4550 5135 5372 5525 5530 5950 6188 6715 7189 7735 7900 9100 9401 10270 11050 11060 11900 13430 13825 14378 15470 17459 18802 20540 22100 25675 26860 27650 28756 30940 33575 34918 35945 37604 38675 47005 51350 55300 67150 69836 71890 77350 87295 94010 102700 122213 134300 143780 154700 174590 179725 188020 235025 244426 349180 359450 436475 470050 488852 611065 718900 872950 940100 1222130 1745900 2444260 3055325 6110650 12221300