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12320302233200 = 2452135441435451
BaseRepresentation
bin1011001101001000101100…
…1111001111011001110000
31121121210212001020102210112
42303102023033033121300
53103323434332430300
642111511350320452
72411053401042203
oct263221317173160
947553761212715
1012320302233200
113a2001346a425
12146b910359128
136b4a516c6520
1430843d1db93a
1516572cb4ae35
hexb348b3cf670

12320302233200 has 120 divisors (see below), whose sum is σ = 31882344513936. Its totient is φ = 4548188160000.

The previous prime is 12320302233199. The next prime is 12320302233223. The reversal of 12320302233200 is 233220302321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28075475 + ... + 28510925.

Almost surely, 212320302233200 is an apocalyptic number.

12320302233200 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 12320302233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15941172256968).

12320302233200 is an abundant number, since it is smaller than the sum of its proper divisors (19562042280736).

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

12320302233200 is a wasteful number, since it uses less digits than its factorization.

12320302233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440923 (or 440912 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 12320302233200 its reverse (233220302321), we get a palindrome (12553522535521).

The spelling of 12320302233200 in words is "twelve trillion, three hundred twenty billion, three hundred two million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 5441 10882 21764 27205 43528 54410 70733 87056 108820 136025 141466 217640 272050 282932 353665 435280 435451 544100 565864 707330 870902 1088200 1131728 1414660 1741804 1768325 2176400 2177255 2829320 3483608 3536650 4354510 5658640 5660863 6967216 7073300 8709020 10886275 11321726 14146600 17418040 21772550 22643452 28293200 28304315 34836080 43545100 45286904 56608630 87090200 90573808 113217260 141521575 174180400 226434520 283043150 452869040 566086300 1132172600 2264345200 2369288891 4738577782 9477155564 11846444455 18954311128 23692888910 30800755583 37908622256 47385777820 59232222275 61601511166 94771555640 118464444550 123203022332 154003777915 189543111280 236928889100 246406044664 308007555830 473857778200 492812089328 616015111660 770018889575 947715556400 1232030223320 1540037779150 2464060446640 3080075558300 6160151116600 12320302233200