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112120011212110 = 25112192862729753
BaseRepresentation
bin11001011111100011111001…
…011100001100010101001110
3112200222120100100122212200221
4121133203321130030111032
5104143433240332241420
61034243115545341554
732421255253505446
oct3137437134142516
9480876310585627
10112120011212110
11327a7914403a00
12106a9738a978ba
134a73b44147375
141d988cd415126
15ce677365ccaa
hex65f8f970c54e

112120011212110 has 144 divisors (see below), whose sum is σ = 234155636740368. Its totient is φ = 38619300360960.

The previous prime is 112120011212089. The next prime is 112120011212113. The reversal of 112120011212110 is 11212110021211.

It is a super-2 number, since 2×1121200112121102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120011212113) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3768344994 + ... + 3768374746.

It is an arithmetic number, because the mean of its divisors is an integer number (1626080810697).

Almost surely, 2112120011212110 is an apocalyptic number.

112120011212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112120011212110 is an abundant number, since it is smaller than the sum of its proper divisors (122035625528258).

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

112120011212110 is a wasteful number, since it uses less digits than its factorization.

112120011212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38447 (or 38417 counting only the distinct ones).

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

Adding to 112120011212110 its reverse (11212110021211), we get a palindrome (123332121233321).

The spelling of 112120011212110 in words is "one hundred twelve trillion, one hundred twenty billion, eleven million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 121 190 209 242 361 418 605 722 1045 1210 1805 2090 2299 3610 3971 4598 7942 8627 11495 17254 19855 22990 29753 39710 43135 43681 59506 86270 87362 94897 148765 163913 189794 218405 297530 327283 327826 436810 474485 565307 654566 819565 948970 1043867 1130614 1636415 1639130 1803043 2087734 2826535 3114347 3272830 3600113 3606086 5219335 5653070 6218377 6228694 7200226 9015215 10438670 10740833 12436754 15571735 18000565 18030430 19833473 21481666 31091885 31143470 34257817 36001130 39666946 53704165 62183770 68402147 68515634 99167365 107408330 118149163 136804294 171289085 198334730 236298326 256679131 342010735 342578170 376835987 513358262 590745815 684021470 753671974 1181491630 1283395655 1299640793 1884179935 2566791310 2599281586 2823470441 3768359870 4876903489 5646940882 6498203965 9753806978 12996407930 14117352205 24384517445 28234704410 31058174851 48769034890 53645938379 62116349702 92661166291 107291876758 155290874255 185322332582 268229691895 310581748510 463305831455 536459383790 590105322169 926611662910 1019272829201 1180210644338 2038545658402 2950526610845 5096364146005 5901053221690 10192728292010 11212001121211 22424002242422 56060005606055 112120011212110