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12119040 = 210325263
BaseRepresentation
bin101110001110…
…110000000000
3211210201012100
4232032300000
511100302130
61111430400
7205003323
oct56166000
924721170
1012119040
11692823a
124085400
13268423b
1418767ba
1510e5c60
hexb8ec00

12119040 has 132 divisors (see below), whose sum is σ = 42151824. Its totient is φ = 3219456.

The previous prime is 12119039. The next prime is 12119057. The reversal of 12119040 is 4091121.

It is a super-2 number, since 2×121190402 = 293742261043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45949 + ... + 46211.

It is an arithmetic number, because the mean of its divisors is an integer number (319332).

Almost surely, 212119040 is an apocalyptic number.

12119040 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 12119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21075912).

12119040 is an abundant number, since it is smaller than the sum of its proper divisors (30032784).

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

12119040 is a wasteful number, since it uses less digits than its factorization.

12119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 12119040 is about 3481.2411579780. The cubic root of 12119040 is about 229.6973966304.

The spelling of 12119040 in words is "twelve million, one hundred nineteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 263 288 320 360 384 480 512 526 576 640 720 768 789 960 1024 1052 1152 1280 1315 1440 1536 1578 1920 2104 2304 2367 2560 2630 2880 3072 3156 3840 3945 4208 4608 4734 5120 5260 5760 6312 7680 7890 8416 9216 9468 10520 11520 11835 12624 15360 15780 16832 18936 21040 23040 23670 25248 31560 33664 37872 42080 46080 47340 50496 63120 67328 75744 84160 94680 100992 126240 134656 151488 168320 189360 201984 252480 269312 302976 336640 378720 403968 504960 605952 673280 757440 807936 1009920 1211904 1346560 1514880 2019840 2423808 3029760 4039680 6059520 12119040