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112311212012120 = 235112343272564813
BaseRepresentation
bin11001100010010101111101…
…111001010111001001011000
3112201122211212110200220000102
4121202111331321113021120
5104210101330233341440
61034511020350154532
732441134350500252
oct3142257571271130
9481584773626012
10112311212012120
1132870a102629a0
121071a7b97b2a48
134a88b95490714
141da3c6aa30cd2
15ceb71436bb15
hex66257de57258

112311212012120 has 128 divisors (see below), whose sum is σ = 287725348592640. Its totient is φ = 39055726026240.

The previous prime is 112311212012089. The next prime is 112311212012123. The reversal of 112311212012120 is 21210212113211.

It is a super-2 number, since 2×1123112120121202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112311212012092 and 112311212012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112311212012123) 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, 42506834 + ... + 45071646.

It is an arithmetic number, because the mean of its divisors is an integer number (2247854285880).

Almost surely, 2112311212012120 is an apocalyptic number.

112311212012120 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 112311212012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143862674296320).

112311212012120 is an abundant number, since it is smaller than the sum of its proper divisors (175414136580520).

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

112311212012120 is a wasteful number, since it uses less digits than its factorization.

112311212012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569185 (or 2569181 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 112311212012120 its reverse (21210212113211), we get a palindrome (133521424125331).

The spelling of 112311212012120 in words is "one hundred twelve trillion, three hundred eleven billion, two hundred twelve million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 4327 5060 8654 10120 17308 21635 34616 43270 47597 86540 95194 99521 173080 190388 199042 237985 380776 398084 475970 497605 796168 951940 995210 1094731 1903880 1990420 2189462 2564813 3980840 4378924 5129626 5473655 8757848 10259252 10947310 12824065 20518504 21894620 25648130 28212943 43789240 51296260 56425886 58990699 102592520 112851772 117981398 141064715 225703544 235962796 282129430 294953495 471925592 564258860 589906990 648897689 1128517720 1179813980 1297795378 2359627960 2595590756 3244488445 5191181512 6488976890 11097945851 12977953780 22195891702 25955907560 44391783404 55489729255 88783566808 110979458510 122077404361 221958917020 244154808722 255252754573 443917834040 488309617444 510505509146 610387021805 976619234888 1021011018292 1220774043610 1276263772865 2042022036584 2441548087220 2552527545730 2807780300303 4883096174440 5105055091460 5615560600606 10210110182920 11231121201212 14038901501515 22462242402424 28077803003030 56155606006060 112311212012120