Search a number
-
+
222112120120 = 23511718385661
BaseRepresentation
bin1100111011011011101…
…0011111110100111000
3210020022101010202212021
43032312322133310320
512114341200320440
6250011545324224
722022100604342
oct3166672376470
9706271122767
10222112120120
1186219557340
1237068a96674
1317c39469517
14aa70aca292
155b9e84d84a
hex33b6e9fd38

222112120120 has 128 divisors (see below), whose sum is σ = 559530478080. Its totient is φ = 78670144000.

The previous prime is 222112120091. The next prime is 222112120129. The reversal of 222112120120 is 21021211222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 222112120094 and 222112120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222112120129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2550090 + ... + 2635750.

It is an arithmetic number, because the mean of its divisors is an integer number (4371331860).

Almost surely, 2222112120120 is an apocalyptic number.

222112120120 is a gapful number since it is divisible by the number (20) 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 222112120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279765239040).

222112120120 is an abundant number, since it is smaller than the sum of its proper divisors (337418357960).

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

222112120120 is a wasteful number, since it uses less digits than its factorization.

222112120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85837 (or 85833 counting only the distinct ones).

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

Adding to 222112120120 its reverse (21021211222), we get a palindrome (243133331342).

The spelling of 222112120120 in words is "two hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 83 88 110 142 166 220 284 332 355 415 440 568 664 710 781 830 913 1420 1562 1660 1826 2840 3124 3320 3652 3905 4565 5893 6248 7304 7810 9130 11786 15620 18260 23572 29465 31240 36520 47144 58930 64823 85661 117860 129646 171322 235720 259292 324115 342644 428305 518584 648230 685288 856610 942271 1296460 1713220 1884542 2592920 3426440 3769084 4711355 6081931 7109863 7538168 9422710 12163862 14219726 18845420 24327724 28439452 30409655 35549315 37690840 48655448 56878904 60819310 66901241 71098630 78208493 121638620 133802482 142197260 156416986 243277240 267604964 284394520 312833972 334506205 391042465 504800273 535209928 625667944 669012410 782084930 1009600546 1338024820 1564169860 2019201092 2524001365 2676049640 3128339720 4038402184 5048002730 5552803003 10096005460 11105606006 20192010920 22211212012 27764015015 44422424024 55528030030 111056060060 222112120120