Base | Representation |
---|---|
bin | 101111101101… |
… | …010000000000 |
3 | 212112101011100 |
4 | 233231100000 |
5 | 11200143422 |
6 | 1124014400 |
7 | 211204653 |
oct | 57552000 |
9 | 25471140 |
10 | 12506112 |
11 | 7072033 |
12 | 4231400 |
13 | 278b488 |
14 | 193789a |
15 | 11707ac |
hex | bed400 |
12506112 has 132 divisors (see below), whose sum is σ = 38319840. Its totient is φ = 3919872.
The previous prime is 12506083. The next prime is 12506147. The reversal of 12506112 is 21160521.
12506112 is a `hidden beast` number, since 1 + 2 + 50 + 611 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
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, 211939 + ... + 211997.
Almost surely, 212506112 is an apocalyptic number.
12506112 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 12506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19159920).
12506112 is an abundant number, since it is smaller than the sum of its proper divisors (25813728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12506112 is a wasteful number, since it uses less digits than its factorization.
12506112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 108 (or 87 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 18.
The square root of 12506112 is about 3536.3981676276. The cubic root of 12506112 is about 232.1172613718.
Adding to 12506112 its reverse (21160521), we get a palindrome (33666633).
The spelling of 12506112 in words is "twelve million, five hundred six thousand, one hundred twelve".
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