Base | Representation |
---|---|
bin | 10110111001000001… |
… | …10001001011000100 |
3 | 1011201110212220100000 |
4 | 23130200301023010 |
5 | 200132103342012 |
6 | 5351250521300 |
7 | 613355062302 |
oct | 133440611304 |
9 | 34643786300 |
10 | 12289512132 |
11 | 52371223a7 |
12 | 246b896230 |
13 | 120b12c991 |
14 | 848261272 |
15 | 4bddabddc |
hex | 2dc8312c4 |
12289512132 has 144 divisors (see below), whose sum is σ = 34470363200. Its totient is φ = 3816927360.
The previous prime is 12289512127. The next prime is 12289512173. The reversal of 12289512132 is 23121598221.
12289512132 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 9 + 512 + 132 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121094 + ... + 1132002.
Almost surely, 212289512132 is an apocalyptic number.
12289512132 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 12289512132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235181600).
12289512132 is an abundant number, since it is smaller than the sum of its proper divisors (22180851068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12289512132 is a wasteful number, since it uses less digits than its factorization.
12289512132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11008 (or 10994 counting only the distinct ones).
The product of its digits is 17280, while the sum is 36.
The spelling of 12289512132 in words is "twelve billion, two hundred eighty-nine million, five hundred twelve thousand, one hundred thirty-two".
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