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2112200211220 = 2251159179909091
BaseRepresentation
bin11110101111001000111…
…100010111101100010100
321110220221212100010201121
4132233020330113230110
5234101241223224340
64254155324533324
7305413201364341
oct36571074275424
97426855303647
102112200211220
11744862a55180
122a14376b1244
13124244837ab8
1474333d677c8
1539e2333494a
hex1ebc8f17b14

2112200211220 has 96 divisors (see below), whose sum is σ = 4948369574400. Its totient is φ = 750835612800.

The previous prime is 2112200211203. The next prime is 2112200211241. The reversal of 2112200211220 is 221120022112.

It is a happy number.

It is a super-2 number, since 2×21122002112202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112200211194 and 2112200211203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1868875 + ... + 2777965.

It is an arithmetic number, because the mean of its divisors is an integer number (51545516400).

Almost surely, 22112200211220 is an apocalyptic number.

2112200211220 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 2112200211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474184787200).

2112200211220 is an abundant number, since it is smaller than the sum of its proper divisors (2836169363180).

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

2112200211220 is a wasteful number, since it uses less digits than its factorization.

2112200211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909349 (or 909347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2112200211220 its reverse (221120022112), we get a palindrome (2333320233332).

The spelling of 2112200211220 in words is "two trillion, one hundred twelve billion, two hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 179 220 236 295 358 590 649 716 895 1180 1298 1790 1969 2596 3245 3580 3938 6490 7876 9845 10561 12980 19690 21122 39380 42244 52805 105610 116171 211220 232342 464684 580855 909091 1161710 1818182 2323420 3636364 4545455 9090910 10000001 18181820 20000002 40000004 50000005 53636369 100000010 107272738 162727289 200000020 214545476 268181845 325454578 536363690 590000059 650909156 813636445 1072727380 1180000118 1627272890 1790000179 2360000236 2950000295 3254545780 3580000358 5900000590 7160000716 8950000895 9600910051 11800001180 17900001790 19201820102 35800003580 38403640204 48004550255 96009100510 105610010561 192018201020 211220021122 422440042244 528050052805 1056100105610 2112200211220