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12169120 = 255194003
BaseRepresentation
bin101110011010…
…111110100000
3211220020220011
4232122332200
511103402440
61112454304
7205302325
oct56327640
924806804
1012169120
116961927
1240aa394
1326a0c82
14188ab4c
1511059ea
hexb9afa0

12169120 has 48 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 4610304.

The previous prime is 12169117. The next prime is 12169121. The reversal of 12169120 is 2196121.

It is a junction number, because it is equal to n+sod(n) for n = 12169091 and 12169100.

It is not an unprimeable number, because it can be changed into a prime (12169121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1039 + ... + 5041.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 212169120 is an apocalyptic number.

12169120 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 12169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

12169120 is an abundant number, since it is smaller than the sum of its proper divisors (18101120).

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

12169120 is a wasteful number, since it uses less digits than its factorization.

12169120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 12169120 is about 3488.4265794194. The cubic root of 12169120 is about 230.0133577623.

The spelling of 12169120 in words is "twelve million, one hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 4003 8006 16012 20015 32024 40030 64048 76057 80060 128096 152114 160120 304228 320240 380285 608456 640480 760570 1216912 1521140 2433824 3042280 6084560 12169120