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112200120210220 = 22578914716121567
BaseRepresentation
bin11001100000101110100000…
…010011110001001100101100
3112201021020010021212121222221
4121200232200103301030230
5104201241321233211340
61034344005035245124
732430122400660010
oct3140564023611454
9481236107777887
10112200120210220
1132828892897969
12107011752a97a4
134a7b56ca234b3
141d9c72c844540
15ce88b14ac44a
hex660ba04f132c

112200120210220 has 96 divisors (see below), whose sum is σ = 272491070423040. Its totient is φ = 38010517332480.

The previous prime is 112200120210197. The next prime is 112200120210257. The reversal of 112200120210220 is 22012021002211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112200120210194 and 112200120210203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15267877 + ... + 21389443.

It is an arithmetic number, because the mean of its divisors is an integer number (2838448650240).

Almost surely, 2112200120210220 is an apocalyptic number.

112200120210220 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 112200120210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136245535211520).

112200120210220 is an abundant number, since it is smaller than the sum of its proper divisors (160290950212820).

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

112200120210220 is a wasteful number, since it uses less digits than its factorization.

112200120210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6123143 (or 6123141 counting only the distinct ones).

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

Adding to 112200120210220 its reverse (22012021002211), we get a palindrome (134212141212431).

The spelling of 112200120210220 in words is "one hundred twelve trillion, two hundred billion, one hundred twenty million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 1246 1471 1780 2492 2942 3115 5884 6230 7355 10297 12460 14710 20594 29420 41188 51485 102970 130919 205940 261838 523676 654595 916433 1309190 1832866 2618380 3665732 4582165 6121567 9164330 12243134 18328660 24486268 30607835 42850969 61215670 85701938 122431340 171403876 214254845 428509690 544819463 857019380 1089638926 2179277852 2724097315 3813736241 5448194630 7627472482 9004825057 10896389260 15254944964 18009650114 19068681205 36019300228 38137362410 45024125285 63033775399 76274724820 90048250570 126067550798 180096501140 252135101596 315168876995 630337753990 801429430073 1260675507980 1602858860146 3205717720292 4007147150365 5610006010511 8014294300730 11220012021022 16028588601460 22440024042044 28050030052555 56100060105110 112200120210220