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12032121032310 = 2351721476793979
BaseRepresentation
bin1010111100010111001001…
…0011001100111001110110
31120121021000012110121111210
42233011302103030321312
53034113240441013220
641331251411142250
72351202114204021
oct257056223147166
946537005417453
1012032121032310
1139198807118a5
121423aa4ba4986
13693816327a92
142d85019ca1b8
1515ceb2d686e0
hexaf1724cce76

12032121032310 has 96 divisors (see below), whose sum is σ = 30678067330560. Its totient is φ = 3019589826048.

The previous prime is 12032121032233. The next prime is 12032121032333. The reversal of 12032121032310 is 1323012123021.

It is a super-2 number, since 2×120321210323102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127982901 + ... + 128076879.

It is an arithmetic number, because the mean of its divisors is an integer number (319563201360).

Almost surely, 212032121032310 is an apocalyptic number.

12032121032310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032121032310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15339033665280).

12032121032310 is an abundant number, since it is smaller than the sum of its proper divisors (18645946298250).

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

12032121032310 is a wasteful number, since it uses less digits than its factorization.

12032121032310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108790 (or 108773 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12032121032310 its reverse (1323012123021), we get a palindrome (13355133155331).

The spelling of 12032121032310 in words is "twelve trillion, thirty-two billion, one hundred twenty-one million, thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2890 4335 8670 14767 29534 44301 73835 88602 93979 147670 187958 221505 251039 281937 443010 469895 502078 563874 753117 939790 1255195 1409685 1506234 1597643 2510390 2819370 3195286 3765585 4267663 4792929 7531170 7988215 8535326 9585858 12802989 15976430 21338315 23964645 25605978 27159931 42676630 47929290 54319862 64014945 81479793 128029890 135799655 162959586 271599310 407398965 814797930 1387787893 2775575786 4163363679 6938939465 8326727358 13877878930 20816818395 23592394181 41633636790 47184788362 70777182543 117961970905 141554365086 235923941810 353885912715 401070701077 707771825430 802141402154 1203212103231 2005353505385 2406424206462 4010707010770 6016060516155 12032121032310