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12022080 = 263571789
BaseRepresentation
bin101101110111…
…000101000000
3211121210012020
4231313011000
511034201310
61105401440
7204120540
oct55670500
924553166
1012022080
116871404
124039280
13264c075
14184d320
1510c7170
hexb77140

12022080 has 112 divisors (see below), whose sum is σ = 43647360. Its totient is φ = 2746368.

The previous prime is 12022039. The next prime is 12022081. The reversal of 12022080 is 8022021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022081) by changing a digit.

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, 5826 + ... + 7614.

Almost surely, 212022080 is an apocalyptic number.

12022080 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 12022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21823680).

12022080 is an abundant number, since it is smaller than the sum of its proper divisors (31625280).

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

12022080 is a wasteful number, since it uses less digits than its factorization.

12022080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12022080 is about 3467.2871239631. The cubic root of 12022080 is about 229.0831807558.

The spelling of 12022080 in words is "twelve million, twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 1789 2240 3360 3578 5367 6720 7156 8945 10734 12523 14312 17890 21468 25046 26835 28624 35780 37569 42936 50092 53670 57248 62615 71560 75138 85872 100184 107340 114496 125230 143120 150276 171744 187845 200368 214680 250460 286240 300552 343488 375690 400736 429360 500920 572480 601104 751380 801472 858720 1001840 1202208 1502760 1717440 2003680 2404416 3005520 4007360 6011040 12022080