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12221102100 = 22352193169163
BaseRepresentation
bin10110110000110111…
…10011100000010100
31011112201011022102010
423120123303200110
5200012100231400
65340404344220
7611564440164
oct133033634024
934481138363
1012221102100
115201547989
1224509a5070
1311c9bc9a7c
1483d1345a4
154b7d97450
hex2d86f3814

12221102100 has 144 divisors (see below), whose sum is σ = 38421985280. Its totient is φ = 2987798400.

The previous prime is 12221102099. The next prime is 12221102107. The reversal of 12221102100 is 120112221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221102107) 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, 142119 + ... + 211281.

Almost surely, 212221102100 is an apocalyptic number.

12221102100 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 12221102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19210992640).

12221102100 is an abundant number, since it is smaller than the sum of its proper divisors (26200883180).

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

12221102100 is a wasteful number, since it uses less digits than its factorization.

12221102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69230 (or 69223 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12221102100 its reverse (120112221), we get a palindrome (12341214321).

The spelling of 12221102100 in words is "twelve billion, two hundred twenty-one million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 31 38 50 57 60 62 75 76 93 95 100 114 124 150 155 186 190 228 285 300 310 372 380 465 475 570 589 620 775 930 950 1140 1178 1425 1550 1767 1860 1900 2325 2356 2850 2945 3100 3534 4650 5700 5890 7068 8835 9300 11780 14725 17670 29450 35340 44175 58900 69163 88350 138326 176700 207489 276652 345815 414978 691630 829956 1037445 1314097 1383260 1729075 2074890 2144053 2628194 3458150 3942291 4149780 4288106 5187225 5256388 6432159 6570485 6916300 7884582 8576212 10374450 10720265 12864318 13140970 15769164 19711455 20748900 21440530 25728636 26281940 32160795 32852425 39422910 40737007 42881060 53601325 64321590 65704850 78845820 81474014 98557275 107202650 122211021 128643180 131409700 160803975 162948028 197114550 203685035 214405300 244422042 321607950 394229100 407370070 488844084 611055105 643215900 814740140 1018425175 1222110210 2036850350 2444220420 3055275525 4073700700 6110551050 12221102100