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12327120 = 2433513439
BaseRepresentation
bin101111000001…
…100011010000
3212012021122000
4233001203100
511123431440
61120114000
7206531061
oct57014320
925167560
1012327120
116a5a603
124165900
132727b70
1418cc568
151137730
hexbc18d0

12327120 has 160 divisors (see below), whose sum is σ = 45830400. Its totient is φ = 3027456.

The previous prime is 12327109. The next prime is 12327127. The reversal of 12327120 is 2172321.

It is a Cunningham number, because it is equal to 35112-1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12327093 and 12327102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12327127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27861 + ... + 28299.

It is an arithmetic number, because the mean of its divisors is an integer number (286440).

Almost surely, 212327120 is an apocalyptic number.

12327120 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 12327120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22915200).

12327120 is an abundant number, since it is smaller than the sum of its proper divisors (33503280).

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

12327120 is a wasteful number, since it uses less digits than its factorization.

12327120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12327120 is about 3510.9998575904. Note that the first 3 decimals coincide. The cubic root of 12327120 is about 231.0045537979.

Adding to 12327120 its reverse (2172321), we get a palindrome (14499441).

The spelling of 12327120 in words is "twelve million, three hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 439 468 520 540 585 624 702 720 780 878 936 1040 1080 1170 1317 1404 1560 1755 1756 1872 2160 2195 2340 2634 2808 3120 3510 3512 3951 4390 4680 5268 5616 5707 6585 7020 7024 7902 8780 9360 10536 11414 11853 13170 14040 15804 17121 17560 19755 21072 22828 23706 26340 28080 28535 31608 34242 35120 39510 45656 47412 51363 52680 57070 59265 63216 68484 79020 85605 91312 94824 102726 105360 114140 118530 136968 154089 158040 171210 189648 205452 228280 237060 256815 273936 308178 316080 342420 410904 456560 474120 513630 616356 684840 770445 821808 948240 1027260 1232712 1369680 1540890 2054520 2465424 3081780 4109040 6163560 12327120