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112201012201212 = 2232112177291452863
BaseRepresentation
bin11001100000101111010101…
…011110011100011011111100
3112201021022102110022110121100
4121200233111132130123330
5104201300133110414322
61034344233341533100
732430153451530564
oct3140572536343374
9481238373273540
10112201012201212
1132829200349a00
1210701383b74190
134a7b68277460c
141d9c7b50b7da4
15ce8914955dac
hex660bd579c6fc

112201012201212 has 108 divisors (see below), whose sum is σ = 311764550348160. Its totient is φ = 33998365547520.

The previous prime is 112201012201193. The next prime is 112201012201219. The reversal of 112201012201212 is 212102210102211.

112201012201212 is a `hidden beast` number, since 1 + 1 + 220 + 10 + 1 + 220 + 1 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112201012201219) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76501093 + ... + 77953955.

It is an arithmetic number, because the mean of its divisors is an integer number (2886708799520).

Almost surely, 2112201012201212 is an apocalyptic number.

112201012201212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112201012201212 is an abundant number, since it is smaller than the sum of its proper divisors (199563538146948).

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

112201012201212 is a wasteful number, since it uses less digits than its factorization.

112201012201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470624 (or 1470608 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112201012201212 its reverse (212102210102211), we get a palindrome (324303222303423).

The spelling of 112201012201212 in words is "one hundred twelve trillion, two hundred one billion, twelve million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 17729 35458 53187 70916 106374 159561 195019 212748 319122 390038 585057 638244 780076 1170114 1452863 1755171 2145209 2340228 2905726 3510342 4290418 4358589 5811452 6435627 7020684 8580836 8717178 12871254 13075767 15981493 17434356 19306881 25742508 26151534 31962986 38613762 47944479 52303068 63925972 77227524 95888958 143833437 175796423 191777916 287666874 351592846 527389269 575333748 703185692 1054778538 1582167807 2109557076 3164335614 6328671228 25757808127 51515616254 77273424381 103031232508 154546848762 231820273143 283335889397 309093697524 463640546286 566671778794 850007668191 927281092572 1133343557588 1700015336382 2550023004573 3116694783367 3400030672764 5100046009146 6233389566734 9350084350101 10200092018292 12466779133468 18700168700202 28050253050303 37400337400404 56100506100606 112201012201212