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2112220221200 = 245283502112671
BaseRepresentation
bin11110101111001010001…
…000101100111100010000
321110221000020222202020222
4132233022020230330100
5234101311334034300
64254201321452212
7305413533434435
oct36571210547420
97427006882228
102112220221200
11744873281a51
122a1442341068
13124248a2291b
1474336895b8c
1539e24e88785
hex1ebca22cf10

2112220221200 has 120 divisors (see below), whose sum is σ = 5137177199616. Its totient is φ = 834476608000.

The previous prime is 2112220221191. The next prime is 2112220221317. The reversal of 2112220221200 is 21220222112.

It is a happy number.

It is a super-2 number, since 2×21122202212002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166690865 + ... + 166703535.

Almost surely, 22112220221200 is an apocalyptic number.

2112220221200 is a gapful number since it is divisible by the number (20) 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 2112220221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568588599808).

2112220221200 is an abundant number, since it is smaller than the sum of its proper divisors (3024956978416).

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

2112220221200 is a wasteful number, since it uses less digits than its factorization.

2112220221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17793 (or 17782 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2112220221200 its reverse (21220222112), we get a palindrome (2133440443312).

The spelling of 2112220221200 in words is "two trillion, one hundred twelve billion, two hundred twenty million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 166 200 332 400 415 664 830 1328 1660 2075 3320 4150 5021 6640 8300 10042 12671 16600 20084 25105 25342 33200 40168 50210 50684 63355 80336 100420 101368 125525 126710 200840 202736 251050 253420 316775 401680 416743 502100 506840 633550 833486 1004200 1013680 1051693 1267100 1666972 2008400 2083715 2103386 2534200 3333944 4167430 4206772 5068400 5258465 6667888 8334860 8413544 10418575 10516930 16669720 16827088 20837150 21033860 26292325 33339440 41674300 42067720 52584650 63621091 83348600 84135440 105169300 127242182 166697200 210338600 254484364 318105455 420677200 508968728 636210910 1017937456 1272421820 1590527275 2544843640 3181054550 5089687280 5280550553 6362109100 10561101106 12724218200 21122202212 25448436400 26402752765 42244404424 52805505530 84488808848 105611011060 132013763825 211222022120 264027527650 422444044240 528055055300 1056110110600 2112220221200