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12001210112 = 281723472551
BaseRepresentation
bin10110010110101001…
…11110111100000000
31010222101101122022102
423023110332330000
5144034302210422
65302511325532
7603254413523
oct131324767400
933871348272
1012001210112
1150a9408871
1223ab2208a8
131193499578
1481bc54bba
154a390e192
hex2cb53ef00

12001210112 has 144 divisors (see below), whose sum is σ = 27041236992. Its totient is φ = 5285068800.

The previous prime is 12001210049. The next prime is 12001210183. The reversal of 12001210112 is 21101210021.

12001210112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12001210093 and 12001210102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4703237 + ... + 4705787.

It is an arithmetic number, because the mean of its divisors is an integer number (187786368).

Almost surely, 212001210112 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 12001210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13520618496).

12001210112 is an abundant number, since it is smaller than the sum of its proper divisors (15040026880).

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

12001210112 is a wasteful number, since it uses less digits than its factorization.

12001210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12001210112 its reverse (21101210021), we get a palindrome (33102420133).

Subtracting 12001210112 from its reverse (21101210021), we obtain a palindrome (9099999909).

The spelling of 12001210112 in words is "twelve billion, one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 23 32 34 46 47 64 68 92 94 128 136 184 188 256 272 368 376 391 544 736 752 782 799 1081 1088 1472 1504 1564 1598 2162 2176 2551 2944 3008 3128 3196 4324 4352 5102 5888 6016 6256 6392 8648 10204 12032 12512 12784 17296 18377 20408 25024 25568 34592 36754 40816 43367 50048 51136 58673 69184 73508 81632 86734 100096 102272 117346 119897 138368 147016 163264 173468 204544 234692 239794 276736 294032 326528 346936 469384 479588 588064 653056 693872 938768 959176 997441 1176128 1387744 1877536 1918352 1994882 2038249 2352256 2757631 2775488 3755072 3836704 3989764 4076498 4704512 5515262 5550976 7510144 7673408 7979528 8152996 11030524 11101952 15020288 15346816 15959056 16305992 22061048 30693632 31918112 32611984 44122096 46879727 63836224 65223968 88244192 93759454 127672448 130447936 176488384 187518908 255344896 260895872 352976768 375037816 521791744 705953536 750075632 1500151264 3000302528 6000605056 12001210112