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12011113023232 = 28199756944741
BaseRepresentation
bin1010111011001000111000…
…1000000000011100000000
31120112020210010012011202111
42232302032020000130000
53033242224413220412
641313455032425104
72346526402111111
oct256621610003400
946466703164674
1012011113023232
113910980199724
12141ba01548194
13691848b6a68b
142d74ab8b0208
1515c6838882a7
hexaec8e200700

12011113023232 has 144 divisors (see below), whose sum is σ = 25542724586400. Its totient is φ = 5620798586880.

The previous prime is 12011113023223. The next prime is 12011113023269. The reversal of 12011113023232 is 23232031111021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268436382 + ... + 268481122.

It is an arithmetic number, because the mean of its divisors is an integer number (177380031850).

Almost surely, 212011113023232 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 12011113023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12771362293200).

12011113023232 is an abundant number, since it is smaller than the sum of its proper divisors (13531611563168).

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

12011113023232 is an equidigital number, since it uses as much as digits as its factorization.

12011113023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45442 (or 45428 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12011113023232 its reverse (23232031111021), we get a palindrome (35243144134253).

The spelling of 12011113023232 in words is "twelve trillion, eleven billion, one hundred thirteen million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 97 128 152 194 256 304 388 569 608 776 1138 1216 1552 1843 2276 2432 3104 3686 4552 4864 6208 7372 9104 10811 12416 14744 18208 21622 24832 29488 36416 43244 44741 55193 58976 72832 86488 89482 110386 117952 145664 172976 178964 220772 235904 345952 357928 441544 471808 691904 715856 850079 883088 1048667 1383808 1431712 1700158 1766176 2097334 2767616 2863424 3400316 3532352 4194668 4339877 5726848 6800632 7064704 8389336 8679754 11453696 13601264 14129408 16778672 17359508 25457629 27202528 33557344 34719016 50915258 54405056 67114688 69438032 82457663 101830516 108810112 134229376 138876064 164915326 203661032 217620224 268458752 277752128 329830652 407322064 483694951 555504256 659661304 814644128 967389902 1111008512 1319322608 1629288256 1934779804 2469390013 2638645216 3258576512 3869559608 4938780026 5277290432 6517153024 7739119216 9877560052 10554580864 15478238432 19755120104 21109161728 30956476864 39510240208 46918410247 61912953728 79020480416 93836820494 123825907456 158040960832 187673640988 316081921664 375347281976 632163843328 750694563952 1501389127904 3002778255808 6005556511616 12011113023232