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112120220212 = 227111359347221
BaseRepresentation
bin110100001101011100…
…0101100101000110100
3101201101211222022201121
41220122320230220310
53314110234021322
6123301325233324
711046305101330
oct1503270545064
9351354868647
10112120220212
1143605a39a20
1219890a02844
13a75a847490
1455d8a147c0
152db3305ec7
hex1a1ae2ca34

112120220212 has 96 divisors (see below), whose sum is σ = 263893158144. Its totient is φ = 40254105600.

The previous prime is 112120220203. The next prime is 112120220213. The reversal of 112120220212 is 212022021211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120220213) 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 31 ways as a sum of consecutive naturals, for example, 2350762 + ... + 2397982.

It is an arithmetic number, because the mean of its divisors is an integer number (2748887064).

Almost surely, 2112120220212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112120220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131946579072).

112120220212 is an abundant number, since it is smaller than the sum of its proper divisors (151772937932).

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

112120220212 is a wasteful number, since it uses less digits than its factorization.

112120220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47849 (or 47847 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112120220212 its reverse (212022021211), we get a palindrome (324142241423).

It can be divided in two parts, 11 and 2120220212, that multiplied together give a palindrome (23322422332).

The spelling of 112120220212 in words is "one hundred twelve billion, one hundred twenty million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 593 1001 1186 2002 2372 4004 4151 6523 7709 8302 13046 15418 16604 26092 30836 45661 47221 53963 84799 91322 94442 107926 169598 182644 188884 215852 330547 339196 519431 593593 613873 661094 1038862 1187186 1227746 1322188 2077724 2374372 2455492 3636017 4297111 6752603 7272034 8594222 13505206 14544068 17188444 27010412 28002053 47268221 56004106 94536442 112008212 189072884 196014371 308022583 364026689 392028742 616045166 728053378 784057484 1232090332 1456106756 2156158081 2548186823 4004293579 4312316162 5096373646 8008587158 8624632324 10192747292 16017174316 28030055053 56060110106 112120220212