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12211300300 = 22522347831361
BaseRepresentation
bin10110101111101100…
…11010011111001100
31011112000201022212111
423113312122133030
5200002043102200
65335414313404
7611415224413
oct132766323714
934460638774
1012211300300
1151a6a62721
122449658864
1311c7b774a4
1483bb0247a
154b70ad0ba
hex2d7d9a7cc

12211300300 has 144 divisors (see below), whose sum is σ = 28600169472. Its totient is φ = 4514329600.

The previous prime is 12211300229. The next prime is 12211300301. The reversal of 12211300300 is 300311221.

It is not an unprimeable number, because it can be changed into a prime (12211300301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8971620 + ... + 8972980.

It is an arithmetic number, because the mean of its divisors is an integer number (198612288).

Almost surely, 212211300300 is an apocalyptic number.

12211300300 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 12211300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14300084736).

12211300300 is an abundant number, since it is smaller than the sum of its proper divisors (16388869172).

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

12211300300 is a wasteful number, since it uses less digits than its factorization.

12211300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12211300300 its reverse (300311221), we get a palindrome (12511611521).

The spelling of 12211300300 in words is "twelve billion, two hundred eleven million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 47 50 83 92 94 100 115 166 188 230 235 332 415 460 470 575 830 940 1081 1150 1175 1361 1660 1909 2075 2162 2300 2350 2722 3818 3901 4150 4324 4700 5405 5444 6805 7636 7802 8300 9545 10810 13610 15604 19090 19505 21620 27025 27220 31303 34025 38180 39010 47725 54050 62606 63967 68050 78020 89723 95450 97525 108100 112963 125212 127934 136100 156515 179446 190900 195050 225926 255868 313030 319835 358892 390100 448615 451852 564815 626060 639670 782575 897230 1129630 1279340 1471241 1565150 1599175 1794460 2243075 2259260 2598149 2824075 2942482 3130300 3198350 4486150 5196298 5309261 5648150 5884964 6396700 7356205 8972300 10392596 10618522 11296300 12990745 14712410 21237044 25981490 26546305 29424820 36781025 51962980 53092610 64953725 73562050 106185220 122113003 129907450 132731525 147124100 244226006 259814900 265463050 488452012 530926100 610565015 1221130030 2442260060 3052825075 6105650150 12211300300