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12004120 = 235734111
BaseRepresentation
bin101101110010…
…101100011000
3211120212120001
4231302230120
511033112440
61105142344
7204014302
oct55625430
924525501
1012004120
116859967
12402a9b4
132643b3b
141846972
1510c1b9a
hexb72b18

12004120 has 32 divisors (see below), whose sum is σ = 27385920. Its totient is φ = 4734720.

The previous prime is 12004117. The next prime is 12004163. The reversal of 12004120 is 2140021.

12004120 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 12004097 and 12004106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 865 + ... + 4975.

It is an arithmetic number, because the mean of its divisors is an integer number (855810).

Almost surely, 212004120 is an apocalyptic number.

12004120 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 12004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13692960).

12004120 is an abundant number, since it is smaller than the sum of its proper divisors (15381800).

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

12004120 is a wasteful number, since it uses less digits than its factorization.

12004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 12004120 is about 3464.6962348812. The cubic root of 12004120 is about 228.9690467498.

Adding to 12004120 its reverse (2140021), we get a palindrome (14144141).

The spelling of 12004120 in words is "twelve million, four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 4111 8222 16444 20555 32888 41110 82220 164440 300103 600206 1200412 1500515 2400824 3001030 6002060 12004120