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12108120 = 23352341107
BaseRepresentation
bin101110001100…
…000101011000
3211210011012220
4232030011120
511044424440
61111304040
7204626433
oct56140530
924704186
1012108120
116920012
12407b020
13267c28b
14187281a
1510e28d0
hexb8c158

12108120 has 128 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 2984960.

The previous prime is 12108113. The next prime is 12108133. The reversal of 12108120 is 2180121.

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 12108120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113107 + ... + 113213.

It is an arithmetic number, because the mean of its divisors is an integer number (306180).

Almost surely, 212108120 is an apocalyptic number.

12108120 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 12108120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

12108120 is an abundant number, since it is smaller than the sum of its proper divisors (27082920).

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

12108120 is a wasteful number, since it uses less digits than its factorization.

12108120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 12108120 is about 3479.6723983732. The cubic root of 12108120 is about 229.6283854071.

Adding to 12108120 its reverse (2180121), we get a palindrome (14288241).

The spelling of 12108120 in words is "twelve million, one hundred eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 41 46 60 69 82 92 107 115 120 123 138 164 184 205 214 230 246 276 321 328 345 410 428 460 492 535 552 615 642 690 820 856 920 943 984 1070 1230 1284 1380 1605 1640 1886 2140 2460 2461 2568 2760 2829 3210 3772 4280 4387 4715 4920 4922 5658 6420 7383 7544 8774 9430 9844 11316 12305 12840 13161 14145 14766 17548 18860 19688 21935 22632 24610 26322 28290 29532 35096 36915 37720 43870 49220 52644 56580 59064 65805 73830 87740 98440 100901 105288 113160 131610 147660 175480 201802 263220 295320 302703 403604 504505 526440 605406 807208 1009010 1210812 1513515 2018020 2421624 3027030 4036040 6054060 12108120