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12021133212 = 2235115631997
BaseRepresentation
bin10110011001000001…
…11110111110011100
31011000202212211200000
423030200332332130
5144104402230322
65304502334300
7603615642414
oct131440767634
934022784600
1012021133212
115109686340
1223b5a2a390
13119765399a
1482075d644
154a55473ac
hex2cc83ef9c

12021133212 has 144 divisors (see below), whose sum is σ = 34455238272. Its totient is φ = 3634476480.

The previous prime is 12021133207. The next prime is 12021133219. The reversal of 12021133212 is 21233112021.

12021133212 is a `hidden beast` number, since 120 + 211 + 332 + 1 + 2 = 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 (12021133219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6018598 + ... + 6020594.

It is an arithmetic number, because the mean of its divisors is an integer number (239272488).

Almost surely, 212021133212 is an apocalyptic number.

12021133212 is a gapful number since it is divisible by the number (12) 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 12021133212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17227619136).

12021133212 is an abundant number, since it is smaller than the sum of its proper divisors (22434105060).

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

12021133212 is a wasteful number, since it uses less digits than its factorization.

12021133212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12021133212 its reverse (21233112021), we get a palindrome (33254245233).

The spelling of 12021133212 in words is "twelve billion, twenty-one million, one hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 563 594 891 972 1126 1188 1689 1782 1997 2252 2673 3378 3564 3994 5067 5346 5991 6193 6756 7988 10134 10692 11982 12386 15201 17973 18579 20268 21967 23964 24772 30402 35946 37158 43934 45603 53919 55737 60804 65901 71892 74316 87868 91206 107838 111474 131802 136809 161757 167211 182412 197703 215676 222948 263604 273618 323514 334422 395406 485271 501633 547236 593109 647028 668844 790812 970542 1003266 1124311 1186218 1504899 1779327 1941084 2006532 2248622 2372436 3009798 3372933 3558654 4497244 5337981 6019596 6745866 7117308 10118799 10675962 12367421 13491732 20237598 21351924 24734842 30356397 37102263 40475196 49469684 60712794 74204526 91069191 111306789 121425588 148409052 182138382 222613578 273207573 333920367 364276764 445227156 546415146 667840734 1001761101 1092830292 1335681468 2003522202 3005283303 4007044404 6010566606 12021133212