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12021120 = 273252087
BaseRepresentation
bin101101110110…
…110110000000
3211121201212200
4231312312000
511034133440
61105353200
7204114666
oct55666600
924551780
1012021120
116870711
124038800
13264b7b7
14184cc36
1510c6c30
hexb76d80

12021120 has 96 divisors (see below), whose sum is σ = 41530320. Its totient is φ = 3204096.

The previous prime is 12021071. The next prime is 12021131. The reversal of 12021120 is 2112021.

12021120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 8.

It is a congruent number.

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, 4717 + ... + 6803.

Almost surely, 212021120 is an apocalyptic number.

12021120 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 12021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20765160).

12021120 is an abundant number, since it is smaller than the sum of its proper divisors (29509200).

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

12021120 is a wasteful number, since it uses less digits than its factorization.

12021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12021120 is about 3467.1486844380. The cubic root of 12021120 is about 229.0770829284.

Adding to 12021120 its reverse (2112021), we get a palindrome (14133141).

Subtracting from 12021120 its reverse (2112021), we obtain a palindrome (9909099).

The spelling of 12021120 in words is "twelve million, twenty-one thousand, one hundred twenty".

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 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2087 2880 4174 5760 6261 8348 10435 12522 16696 18783 20870 25044 31305 33392 37566 41740 50088 62610 66784 75132 83480 93915 100176 125220 133568 150264 166960 187830 200352 250440 267136 300528 333920 375660 400704 500880 601056 667840 751320 801408 1001760 1202112 1335680 1502640 2003520 2404224 3005280 4007040 6010560 12021120