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112200010202120 = 235431011423453877
BaseRepresentation
bin11001100000101110011001…
…110000000111110000001000
3112201021012211121212122020212
4121200232121300013300020
5104201241110102431440
61034343550105340252
732430116563632461
oct3140563160076010
9481235747778225
10112200010202120
1132828836790185
1210701144497688
134a7b552cb7549
141d9c71bda9d68
15ce88a69cc465
hex660b99c07c08

112200010202120 has 128 divisors (see below), whose sum is σ = 261062492106240. Its totient is φ = 43371664358400.

The previous prime is 112200010202069. The next prime is 112200010202129. The reversal of 112200010202120 is 21202010002211.

It is a junction number, because it is equal to n+sod(n) for n = 112200010202095 and 112200010202104.

It is not an unprimeable number, because it can be changed into a prime (112200010202129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246976622 + ... + 247430498.

It is an arithmetic number, because the mean of its divisors is an integer number (2039550719580).

Almost surely, 2112200010202120 is an apocalyptic number.

112200010202120 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 112200010202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130531246053120).

112200010202120 is an abundant number, since it is smaller than the sum of its proper divisors (148862481904120).

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

112200010202120 is a wasteful number, since it uses less digits than its factorization.

112200010202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455455 (or 455451 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112200010202120 its reverse (21202010002211), we get a palindrome (133402020204331).

The spelling of 112200010202120 in words is "one hundred twelve trillion, two hundred billion, ten million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 101 172 202 215 344 404 430 505 808 860 1010 1423 1720 2020 2846 4040 4343 5692 7115 8686 11384 14230 17372 21715 28460 34744 43430 56920 61189 86860 122378 143723 173720 244756 287446 305945 453877 489512 574892 611890 718615 907754 1149784 1223780 1437230 1815508 2269385 2447560 2874460 3631016 4538770 5748920 6180089 9077540 12360178 18155080 19516711 24720356 30900445 39033422 45841577 49440712 61800890 78066844 91683154 97583555 123601780 156133688 183366308 195167110 229207885 247203560 366732616 390334220 458415770 645866971 780668440 916831540 1291733942 1833663080 1971187811 2583467884 3229334855 3942375622 5166935768 6458669710 7884751244 9855939055 12917339420 15769502488 19711878110 25834678840 27772279753 39423756220 55544559506 65232564071 78847512440 111089119012 130465128142 138861398765 222178238024 260930256284 277722797530 326162820355 521860512568 555445595060 652325640710 1110891190120 1304651281420 2609302562840 2805000255053 5610000510106 11220001020212 14025001275265 22440002040424 28050002550530 56100005101060 112200010202120