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112221220000 = 255419295319
BaseRepresentation
bin110100010000011100…
…1111110110010100000
3101201122220000122101111
41220200321332302200
53314312113020000
6123315334113104
711051642426341
oct1504071766240
9351586018344
10112221220000
1143657a5361a
12198ba7ab794
13a77574b076
1456081c60c8
152dbc106cba
hex1a20e7eca0

112221220000 has 120 divisors (see below), whose sum is σ = 290612599200. Its totient is φ = 42525792000.

The previous prime is 112221219967. The next prime is 112221220003. The reversal of 112221220000 is 22122211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (112221220003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 232341 + ... + 527659.

It is an arithmetic number, because the mean of its divisors is an integer number (2421771660).

Almost surely, 2112221220000 is an apocalyptic number.

112221220000 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 112221220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145306299600).

112221220000 is an abundant number, since it is smaller than the sum of its proper divisors (178391379200).

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

112221220000 is an equidigital number, since it uses as much as digits as its factorization.

112221220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295368 (or 295345 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 112221220000 its reverse (22122211), we get a palindrome (112243342211).

The spelling of 112221220000 in words is "one hundred twelve billion, two hundred twenty-one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 760 800 950 1000 1250 1520 1900 2000 2375 2500 3040 3800 4000 4750 5000 7600 9500 10000 11875 15200 19000 20000 23750 38000 47500 76000 95000 190000 295319 380000 590638 1181276 1476595 2362552 2953190 4725104 5611061 5906380 7382975 9450208 11222122 11812760 14765950 22444244 23625520 28055305 29531900 36914875 44888488 47251040 56110610 59063800 73829750 89776976 112221220 118127600 140276525 147659500 179553952 184574375 224442440 236255200 280553050 295319000 369148750 448884880 561106100 590638000 701382625 738297500 897769760 1122212200 1181276000 1402765250 1476595000 2244424400 2805530500 2953190000 3506913125 4488848800 5611061000 5906380000 7013826250 11222122000 14027652500 22444244000 28055305000 56110610000 112221220000