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112121200212 = 223716322935759
BaseRepresentation
bin110100001101011110…
…0011011111001010100
3101201101220211010000220
41220122330123321110
53314111011401322
6123301402234340
711046316322430
oct1503274337124
9351356733026
10112121200212
114360654923a
12198911b59b0
13a75aacb568
1455d8bcb9c0
152db344b55c
hex1a1af1be54

112121200212 has 96 divisors (see below), whose sum is σ = 302146252800. Its totient is φ = 31698179712.

The previous prime is 112121200201. The next prime is 112121200231. The reversal of 112121200212 is 212002121211.

It is a junction number, because it is equal to n+sod(n) for n = 112121200191 and 112121200200.

It is a congruent number.

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, 3117589 + ... + 3153347.

It is an arithmetic number, because the mean of its divisors is an integer number (3147356800).

Almost surely, 2112121200212 is an apocalyptic number.

112121200212 is a gapful number since it is divisible by the number (12) 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 112121200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151073126400).

112121200212 is an abundant number, since it is smaller than the sum of its proper divisors (190025052588).

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

112121200212 is a wasteful number, since it uses less digits than its factorization.

112121200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36165 (or 36163 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112121200212 its reverse (212002121211), we get a palindrome (324123321423).

The spelling of 112121200212 in words is "one hundred twelve billion, one hundred twenty-one million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 163 229 326 458 489 652 687 916 978 1141 1374 1603 1956 2282 2748 3206 3423 4564 4809 6412 6846 9618 13692 19236 35759 37327 71518 74654 107277 111981 143036 149308 214554 223962 250313 261289 429108 447924 500626 522578 750939 783867 1001252 1045156 1501878 1567734 3003756 3135468 5828717 8188811 11657434 16377622 17486151 23314868 24566433 32755244 34972302 40801019 49132866 57321677 69944604 81602038 98265732 114643354 122403057 163204076 171965031 229286708 244806114 343930062 489612228 687860124 1334776193 2669552386 4004328579 5339104772 8008657158 9343433351 16017314316 18686866702 28030300053 37373733404 56060600106 112121200212