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2012122331312 = 241727922512447
BaseRepresentation
bin11101010001111011110…
…101100011100010110000
321010100122021011002022212
4131101323311203202300
5230431311304100222
64140204540351252
7265241160422612
oct35217365434260
97110567132285
102012122331312
11706377666815
12285b67845528
13117985b5ac92
146d55c832db2
15375173646e2
hex1d47bd638b0

2012122331312 has 120 divisors (see below), whose sum is σ = 4197298498560. Its totient is φ = 934098048000.

The previous prime is 2012122331309. The next prime is 2012122331339. The reversal of 2012122331312 is 2131332212102.

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, 822280073 + ... + 822282519.

It is an arithmetic number, because the mean of its divisors is an integer number (34977487488).

Almost surely, 22012122331312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012122331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098649249280).

2012122331312 is an abundant number, since it is smaller than the sum of its proper divisors (2185176167248).

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

2012122331312 is a wasteful number, since it uses less digits than its factorization.

2012122331312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2012122331312 its reverse (2131332212102), we get a palindrome (4143454543414).

The spelling of 2012122331312 in words is "two trillion, twelve billion, one hundred twenty-two million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 79 136 158 272 289 316 578 632 1156 1264 1343 2251 2312 2447 2686 4502 4624 4894 5372 9004 9788 10744 18008 19576 21488 22831 36016 38267 39152 41599 45662 76534 83198 91324 153068 166396 177829 182648 193313 306136 332792 355658 365296 386626 612272 650539 665584 707183 711316 773252 1301078 1414366 1422632 1546504 2602156 2828732 2845264 3023093 3093008 3286321 5204312 5508197 5657464 6046186 6572642 10408624 11016394 11314928 12092372 13145284 22032788 24184744 26290568 44065576 48369488 51392581 52581136 55867457 88131152 93639349 102785162 111734914 187278698 205570324 223469828 374557396 411140648 435147563 446939656 749114792 822281296 870295126 893879312 1498229584 1591868933 1740590252 3183737866 3481180504 6367475732 6962361008 7397508571 12734951464 14795017142 25469902928 29590034284 59180068568 118360137136 125757645707 251515291414 503030582828 1006061165656 2012122331312