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112211210120000 = 26543415782129
BaseRepresentation
bin11001100000111000110101…
…010100011010101101000000
3112201022021202011111102021012
4121200320311110122231000
5104201432024242320000
61034353041314420052
732430664251441335
oct3140706524325500
9481267664442235
10112211210120000
1132832563855262
121070334b291628
134a7c61946a9a4
141d9d0a163a98c
15ce8d0edab735
hex660e3551ab40

112211210120000 has 140 divisors (see below), whose sum is σ = 278258866612980. Its totient is φ = 44882623488000.

The previous prime is 112211210119999. The next prime is 112211210120003. The reversal of 112211210120000 is 21012112211.

It can be written as a sum of positive squares in 10 ways, for example, as 98554223792704 + 13656986327296 = 9927448^2 + 3695536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211210120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1366238936 + ... + 1366321064.

Almost surely, 2112211210120000 is an apocalyptic number.

112211210120000 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 112211210120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139129433306490).

112211210120000 is an abundant number, since it is smaller than the sum of its proper divisors (166047656492980).

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

112211210120000 is an frugal number, since it uses more digits than its factorization.

112211210120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116318 (or 116293 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112211210120000 its reverse (21012112211), we get a palindrome (112232222232211).

The spelling of 112211210120000 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred ten million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 34157 40000 68314 82129 136628 164258 170785 273256 328516 341570 410645 546512 657032 683140 821290 853925 1093024 1314064 1366280 1642580 1707850 2053225 2186048 2628128 2732560 3285160 3415700 4106450 4269625 5256256 5465120 6570320 6831400 8212900 8539250 10266125 10930240 13140640 13662800 16425800 17078500 20532250 21348125 26281280 27325600 32851600 34157000 41064500 42696250 51330625 54651200 65703200 68314000 82129000 85392500 102661250 131406400 136628000 164258000 170785000 205322500 273256000 328516000 341570000 410645000 657032000 683140000 821290000 1366280000 1642580000 2805280253 3285160000 5610560506 11221121012 14026401265 22442242024 28052802530 44884484048 56105605060 70132006325 89768968096 112211210120 140264012650 179537936192 224422420240 280528025300 350660031625 448844840480 561056050600 701320063250 897689680960 1122112101200 1402640126500 1753300158125 2244224202400 2805280253000 3506600316250 4488448404800 5610560506000 7013200632500 11221121012000 14026401265000 22442242024000 28052802530000 56105605060000 112211210120000