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112120211222001 = 322937611663114451
BaseRepresentation
bin11001011111100100000101…
…010111001010110111110001
3112200222120212022000102200200
4121133210011113022313301
5104143434143033101001
61034243151452305413
732421263232533613
oct3137440527126761
9480876768012620
10112120211222001
11327a7a072a3334
12106a9793a72269
134a73b76706008
141d9890bbdadb3
15ce6785eba086
hex65f9055cadf1

112120211222001 has 96 divisors (see below), whose sum is σ = 174991357931520. Its totient is φ = 69025545792000.

The previous prime is 112120211221999. The next prime is 112120211222009. The reversal of 112120211222001 is 100222112021211.

112120211222001 is a `hidden beast` number, since 112 + 120 + 211 + 2 + 220 + 0 + 1 = 666.

It is not a de Polignac number, because 112120211222001 - 21 = 112120211221999 is a prime.

It is a super-2 number, since 2×1121202112220012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112120211222009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 979577826 + ... + 979692276.

It is an arithmetic number, because the mean of its divisors is an integer number (1822826645120).

Almost surely, 2112120211222001 is an apocalyptic number.

It is an amenable number.

112120211222001 is a deficient number, since it is larger than the sum of its proper divisors (62871146709519).

112120211222001 is a wasteful number, since it uses less digits than its factorization.

112120211222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116247 (or 116244 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112120211222001 its reverse (100222112021211), we get a palindrome (212342323243212).

The spelling of 112120211222001 in words is "one hundred twelve trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-two thousand, one".

Divisors: 1 3 9 29 37 61 87 111 183 261 333 549 1073 1663 1769 2257 3219 4989 5307 6771 9657 14967 15921 20313 48227 61531 65453 101443 114451 144681 184593 196359 304329 343353 434043 553779 589077 912987 1030059 1784399 2941847 3319079 3753391 4234687 5353197 6981511 8825541 9957237 11260173 12704061 16059591 20944533 26476623 29871711 33780519 38112183 62833599 108848339 122805923 190332013 202463819 258315907 326545017 368417769 570996039 607391457 774947721 979635051 1105253307 1712988117 1822174371 2324843163 5519628377 7042284481 7491161303 11610252793 16558885131 21126853443 22473483909 34830758379 49676655393 63380560329 67420451727 104492275137 204226249949 336697330997 429579353341 612678749847 1010091992991 1288738060023 1838036249541 3030275978973 3866214180069 12457801246889 37373403740667 112120211222001