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112220001200 = 24524147145589
BaseRepresentation
bin110100010000011010…
…1010101001110110000
3101201122210201201111202
41220200311111032300
53314311310014300
6123315252030332
711051626162106
oct1504065251660
9351583651452
10112220001200
11436572a094a
12198ba3023a8
13a775412398
145607d89c76
152dbbe65ad5
hex1a20d553b0

112220001200 has 120 divisors (see below), whose sum is σ = 282062571840. Its totient is φ = 42861107200.

The previous prime is 112220001193. The next prime is 112220001203. The reversal of 112220001200 is 2100022211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (112220001203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698006 + ... + 843594.

It is an arithmetic number, because the mean of its divisors is an integer number (2350521432).

Almost surely, 2112220001200 is an apocalyptic number.

112220001200 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 112220001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141031285920).

112220001200 is an abundant number, since it is smaller than the sum of its proper divisors (169842570640).

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

112220001200 is a wasteful number, since it uses less digits than its factorization.

112220001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145695 (or 145684 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 112220001200 its reverse (2100022211), we get a palindrome (114320023411).

The spelling of 112220001200 in words is "one hundred twelve billion, two hundred twenty million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 47 50 80 82 94 100 164 188 200 205 235 328 376 400 410 470 656 752 820 940 1025 1175 1640 1880 1927 2050 2350 3280 3760 3854 4100 4700 7708 8200 9400 9635 15416 16400 18800 19270 30832 38540 48175 77080 96350 145589 154160 192700 291178 385400 582356 727945 770800 1164712 1455890 2329424 2911780 3639725 5823560 5969149 6842683 7279450 11647120 11938298 13685366 14558900 23876596 27370732 29117800 29845745 34213415 47753192 54741464 58235600 59691490 68426830 95506384 109482928 119382980 136853660 149228725 171067075 238765960 273707320 280550003 298457450 342134150 477531920 547414640 561100006 596914900 684268300 1122200012 1193829800 1368536600 1402750015 2244400024 2387659600 2737073200 2805500030 4488800048 5611000060 7013750075 11222000120 14027500150 22444000240 28055000300 56110000600 112220001200