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12099120 = 2435114583
BaseRepresentation
bin101110001001…
…111000110000
3211202200212120
4232021320300
511044132440
61111154240
7204561255
oct56117060
924680776
1012099120
116914280
124075980
132678157
14186d42c
1510dedd0
hexb89e30

12099120 has 80 divisors (see below), whose sum is σ = 40925952. Its totient is φ = 2932480.

The previous prime is 12099089. The next prime is 12099133. The reversal of 12099120 is 2199021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349 + ... + 4931.

Almost surely, 212099120 is an apocalyptic number.

12099120 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 12099120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20462976).

12099120 is an abundant number, since it is smaller than the sum of its proper divisors (28826832).

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

12099120 is a wasteful number, since it uses less digits than its factorization.

12099120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 12099120 is about 3478.3789327789. The cubic root of 12099120 is about 229.5714768276.

Subtracting from 12099120 its reverse (2199021), we obtain a palindrome (9900099).

The spelling of 12099120 in words is "twelve million, ninety-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4583 9166 13749 18332 22915 27498 36664 45830 50413 54996 68745 73328 91660 100826 109992 137490 151239 183320 201652 219984 252065 274980 302478 366640 403304 504130 549960 604956 756195 806608 1008260 1099920 1209912 1512390 2016520 2419824 3024780 4033040 6049560 12099120