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12321233120 = 255722748463
BaseRepresentation
bin10110111100110011…
…10001100011100000
31011210200120111100102
423132121301203200
5200213213424440
65354342441532
7614221516310
oct133631614340
934720514312
1012321233120
115253018899
12247a4332a8
1312148880b1
1484c55b440
154c1a75b15
hex2de6718e0

12321233120 has 96 divisors (see below), whose sum is σ = 33414571008. Its totient is φ = 4205726208.

The previous prime is 12321233117. The next prime is 12321233129. The reversal of 12321233120 is 2133212321.

12321233120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12321233092 and 12321233101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321233129) by changing a digit.

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, 230009 + ... + 278471.

It is an arithmetic number, because the mean of its divisors is an integer number (348068448).

Almost surely, 212321233120 is an apocalyptic number.

12321233120 is a gapful number since it is divisible by the number (10) 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 12321233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707285504).

12321233120 is an abundant number, since it is smaller than the sum of its proper divisors (21093337888).

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

12321233120 is a wasteful number, since it uses less digits than its factorization.

12321233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48712 (or 48704 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12321233120 its reverse (2133212321), we get a palindrome (14454445441).

The spelling of 12321233120 in words is "twelve billion, three hundred twenty-one million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 227 280 454 560 908 1120 1135 1589 1816 2270 3178 3632 4540 6356 7264 7945 9080 12712 15890 18160 25424 31780 36320 48463 50848 63560 96926 127120 193852 242315 254240 339241 387704 484630 678482 775408 969260 1356964 1550816 1696205 1938520 2713928 3392410 3877040 5427856 6784820 7754080 10855712 11001101 13569640 22002202 27139280 44004404 54278560 55005505 77007707 88008808 110011010 154015414 176017616 220022020 308030828 352035232 385038535 440044040 616061656 770077070 880088080 1232123312 1540154140 1760176160 2464246624 3080308280 6160616560 12321233120