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11212342221420 = 223251072392435803
BaseRepresentation
bin1010001100101001001110…
…1011001101101001101100
31110200220000102000011200200
42203022103223031221230
52432200334102041140
635502513502153500
72235031202243214
oct243122353155154
943626012004620
1011212342221420
1136331449737aa
12131103a882890
1363441c769512
142aa9748b9244
151469d344d030
hexa3293acda6c

11212342221420 has 144 divisors (see below), whose sum is σ = 34472277665280. Its totient is φ = 2949619817088.

The previous prime is 11212342221419. The next prime is 11212342221439. The reversal of 11212342221420 is 2412224321211.

11212342221420 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 2 + 3 + 422 + 214 + 20 = 666.

11212342221420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3385239 + ... + 5821041.

It is an arithmetic number, because the mean of its divisors is an integer number (239390817120).

Almost surely, 211212342221420 is an apocalyptic number.

11212342221420 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 11212342221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236138832640).

11212342221420 is an abundant number, since it is smaller than the sum of its proper divisors (23259935443860).

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

11212342221420 is a wasteful number, since it uses less digits than its factorization.

11212342221420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436164 (or 2436159 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11212342221420 its reverse (2412224321211), we get a palindrome (13624566542631).

The spelling of 11212342221420 in words is "eleven trillion, two hundred twelve billion, three hundred forty-two million, two hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 239 321 428 478 535 642 717 956 963 1070 1195 1284 1434 1605 1926 2140 2151 2390 2868 3210 3585 3852 4302 4780 4815 6420 7170 8604 9630 10755 14340 19260 21510 25573 43020 51146 76719 102292 127865 153438 230157 255730 306876 383595 460314 511460 767190 920628 1150785 1534380 2301570 2435803 4603140 4871606 7307409 9743212 12179015 14614818 21922227 24358030 29229636 36537045 43844454 48716060 73074090 87688908 109611135 146148180 219222270 260630921 438444540 521261842 582156917 781892763 1042523684 1164313834 1303154605 1563785526 1746470751 2328627668 2345678289 2606309210 2910784585 3127571052 3492941502 3909463815 4691356578 5212618420 5239412253 5821569170 6985883004 7818927630 8732353755 9382713156 10478824506 11643138340 11728391445 15637855260 17464707510 20957649012 23456782890 26197061265 34929415020 46913565780 52394122530 62290790119 104788245060 124581580238 186872370357 249163160476 311453950595 373744740714 560617111071 622907901190 747489481428 934361851785 1121234222142 1245815802380 1868723703570 2242468444284 2803085555355 3737447407140 5606171110710 11212342221420