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112122001212 = 2231317211200371
BaseRepresentation
bin110100001101011111…
…1011111011100111100
3101201101222022210210120
41220122333133130330
53314111213014322
6123301431334540
711046326166624
oct1503277373474
9351358283716
10112122001212
1143606a46021
1219891521450
13a75b01c020
1455d8d59884
152db3558a5c
hex1a1afdf73c

112122001212 has 96 divisors (see below), whose sum is σ = 299730864384. Its totient is φ = 32315673600.

The previous prime is 112122001163. The next prime is 112122001223. The reversal of 112122001212 is 212100221211.

It is a junction number, because it is equal to n+sod(n) for n = 112122001191 and 112122001200.

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, 459387 + ... + 659757.

It is an arithmetic number, because the mean of its divisors is an integer number (3122196504).

Almost surely, 2112122001212 is an apocalyptic number.

112122001212 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 112122001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149865432192).

112122001212 is an abundant number, since it is smaller than the sum of its proper divisors (187608863172).

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

112122001212 is a wasteful number, since it uses less digits than its factorization.

112122001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200619 (or 200617 counting only the distinct ones).

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

Adding to 112122001212 its reverse (212100221211), we get a palindrome (324222222423).

The spelling of 112122001212 in words is "one hundred twelve billion, one hundred twenty-two million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 211 221 422 442 633 663 844 884 1266 1326 2532 2652 2743 3587 5486 7174 8229 10761 10972 14348 16458 21522 32916 43044 46631 93262 139893 186524 200371 279786 400742 559572 601113 801484 1202226 2404452 2604823 3406307 5209646 6812614 7814469 10218921 10419292 13625228 15628938 20437842 31257876 40875684 42278281 44281991 84556562 88563982 126834843 132845973 169113124 177127964 253669686 265691946 507339372 531383892 549617653 718730777 1099235306 1437461554 1648852959 2156192331 2198470612 2874923108 3297705918 4312384662 6595411836 8624769324 9343500101 18687000202 28030500303 37374000404 56061000606 112122001212