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12000120 = 2335119091
BaseRepresentation
bin101101110001…
…101101111000
3211120200001220
4231301231320
511033000440
61105112040
7203666526
oct55615570
924520056
1012000120
116856960
124028620
132642082
141845316
1510c08d0
hexb71b78

12000120 has 64 divisors (see below), whose sum is σ = 39277440. Its totient is φ = 2908800.

The previous prime is 12000097. The next prime is 12000127. The reversal of 12000120 is 2100021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 12000099 and 12000108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3226 + ... + 5865.

It is an arithmetic number, because the mean of its divisors is an integer number (613710).

Almost surely, 212000120 is an apocalyptic number.

12000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000120 is an abundant number, since it is smaller than the sum of its proper divisors (27277320).

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

12000120 is a wasteful number, since it uses less digits than its factorization.

12000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9116 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 12000120 is about 3464.1189356025. The cubic root of 12000120 is about 228.9436116510.

Adding to 12000120 its reverse (2100021), we get a palindrome (14100141).

Subtracting from 12000120 its reverse (2100021), we obtain a palindrome (9900099).

It can be divided in two parts, 120001 and 20, that added together give a palindrome (120021).

The spelling of 12000120 in words is "twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9091 18182 27273 36364 45455 54546 72728 90910 100001 109092 136365 181820 200002 218184 272730 300003 363640 400004 500005 545460 600006 800008 1000010 1090920 1200012 1500015 2000020 2400024 3000030 4000040 6000060 12000120