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12080112 = 24311137167
BaseRepresentation
bin101110000101…
…001111110000
3211201201210120
4232011033300
511043030422
61110530240
7204451662
oct56051760
924651716
1012080112
116900a70
124066980
13266c5c5
141866532
1510d945c
hexb853f0

12080112 has 80 divisors (see below), whose sum is σ = 34497792. Its totient is φ = 3612160.

The previous prime is 12080027. The next prime is 12080141. The reversal of 12080112 is 21108021.

12080112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12080091 and 12080100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72253 + ... + 72419.

Almost surely, 212080112 is an apocalyptic number.

12080112 is a gapful number since it is divisible by the number (12) 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 12080112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248896).

12080112 is an abundant number, since it is smaller than the sum of its proper divisors (22417680).

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

12080112 is a wasteful number, since it uses less digits than its factorization.

12080112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 12080112 is about 3475.6455515487. The cubic root of 12080112 is about 229.4511930994.

Adding to 12080112 its reverse (21108021), we get a palindrome (33188133).

The spelling of 12080112 in words is "twelve million, eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 137 167 176 264 274 334 411 501 528 548 668 822 1002 1096 1336 1507 1644 1837 2004 2192 2672 3014 3288 3674 4008 4521 5511 6028 6576 7348 8016 9042 11022 12056 14696 18084 22044 22879 24112 29392 36168 44088 45758 68637 72336 88176 91516 137274 183032 251669 274548 366064 503338 549096 755007 1006676 1098192 1510014 2013352 3020028 4026704 6040056 12080112