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12222003200 = 211521121701
BaseRepresentation
bin10110110000111110…
…01111100000000000
31011112202212002111012
423120133033200000
5200012313100300
65340435540052
7611605212251
oct133037174000
934482762435
1012222003200
1152020029a0
12245115a628
1311ca153c74
1483d2cab28
154b7ec4435
hex2d87cf800

12222003200 has 144 divisors (see below), whose sum is σ = 33059524680. Its totient is φ = 4444160000.

The previous prime is 12222003191. The next prime is 12222003247. The reversal of 12222003200 is 230022221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552350 + ... + 574050.

Almost surely, 212222003200 is an apocalyptic number.

12222003200 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 12222003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16529762340).

12222003200 is an abundant number, since it is smaller than the sum of its proper divisors (20837521480).

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

12222003200 is a wasteful number, since it uses less digits than its factorization.

12222003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21744 (or 21719 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 12222003200 its reverse (230022221), we get a palindrome (12452025421).

The spelling of 12222003200 in words is "twelve billion, two hundred twenty-two million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 512 550 640 704 800 880 1024 1100 1280 1408 1600 1760 2048 2200 2560 2816 3200 3520 4400 5120 5632 6400 7040 8800 10240 11264 12800 14080 17600 21701 22528 25600 28160 35200 43402 51200 56320 70400 86804 108505 112640 140800 173608 217010 238711 281600 347216 434020 477422 542525 563200 694432 868040 954844 1085050 1193555 1388864 1736080 1909688 2170100 2387110 2777728 3472160 3819376 4340200 4774220 5555456 5967775 6944320 7638752 8680400 9548440 11110912 11935550 13888640 15277504 17360800 19096880 22221824 23871100 27777280 30555008 34721600 38193760 44443648 47742200 55554560 61110016 69443200 76387520 95484400 111109120 122220032 138886400 152775040 190968800 222218240 244440064 277772800 305550080 381937600 488880128 555545600 611100160 763875200 1111091200 1222200320 1527750400 2444400640 3055500800 6111001600 12222003200