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2012112212382 = 2321579234130241
BaseRepresentation
bin11101010001111011001…
…110111101000110011110
321010100121120002222202200
4131101323032331012132
5230431301211244012
64140203535432330
7265241005416426
oct35217316750636
97110546088680
102012112212382
11706371985268
12285b643856a6
13117983a2724c
146d55b35b486
15375165163dc
hex1d47b3bd19e

2012112212382 has 48 divisors (see below), whose sum is σ = 4364345197680. Its totient is φ = 669970828800.

The previous prime is 2012112212381. The next prime is 2012112212389. The reversal of 2012112212382 is 2832122112102.

2012112212382 is a `hidden beast` number, since 201 + 2 + 1 + 1 + 221 + 238 + 2 = 666.

It is a super-4 number, since 4×20121122123824 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012112212381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66520782 + ... + 66551022.

It is an arithmetic number, because the mean of its divisors is an integer number (90923858285).

Almost surely, 22012112212382 is an apocalyptic number.

2012112212382 is an abundant number, since it is smaller than the sum of its proper divisors (2352232985298).

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

2012112212382 is a wasteful number, since it uses less digits than its factorization.

2012112212382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34169 (or 34166 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 2012112212382 its reverse (2832122112102), we get a palindrome (4844234324484).

The spelling of 2012112212382 in words is "two trillion, twelve billion, one hundred twelve million, two hundred twelve thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 1579 2341 3158 4682 4737 7023 9474 14046 14211 21069 28422 30241 42138 60482 90723 181446 272169 544338 3696439 7392878 11089317 22178634 33267951 47750539 66535902 70794181 95501078 141588362 143251617 212382543 286503234 424765086 429754851 637147629 859509702 1274295258 111784011799 223568023598 335352035397 670704070794 1006056106191 2012112212382