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12342120 = 2335722099
BaseRepresentation
bin101111000101…
…001101101000
3212020001012120
4233011031220
511124421440
61120311240
7206622600
oct57051550
925201176
1012342120
116a6a8aa
124172520
13273193b
1418d3c00
15113bdd0
hexbc5368

12342120 has 96 divisors (see below), whose sum is σ = 43092000. Its totient is φ = 2819712.

The previous prime is 12342073. The next prime is 12342149. The reversal of 12342120 is 2124321.

12342120 is digitally balanced in base 2 and base 4, because in such bases 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12342120.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4831 + ... + 6929.

It is an arithmetic number, because the mean of its divisors is an integer number (448875).

Almost surely, 212342120 is an apocalyptic number.

12342120 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 12342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21546000).

12342120 is an abundant number, since it is smaller than the sum of its proper divisors (30749880).

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

12342120 is a wasteful number, since it uses less digits than its factorization.

12342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12342120 is about 3513.1353517905. The cubic root of 12342120 is about 231.0982135170.

Adding to 12342120 its reverse (2124321), we get a palindrome (14466441).

The spelling of 12342120 in words is "twelve million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2099 2940 4198 5880 6297 8396 10495 12594 14693 16792 20990 25188 29386 31485 41980 44079 50376 58772 62970 73465 83960 88158 102851 117544 125940 146930 176316 205702 220395 251880 293860 308553 352632 411404 440790 514255 587720 617106 822808 881580 1028510 1234212 1542765 1763160 2057020 2468424 3085530 4114040 6171060 12342120