Base | Representation |
---|---|
bin | 10110100101001100… |
… | …00101000100010100 |
3 | 1011021212210220221120 |
4 | 23102212011010110 |
5 | 144312010212210 |
6 | 5322544443540 |
7 | 606264631455 |
oct | 132246050424 |
9 | 34255726846 |
10 | 12123132180 |
11 | 5161212705 |
12 | 24240195b0 |
13 | 11b28172c3 |
14 | 83011112c |
15 | 4ae494270 |
hex | 2d2985114 |
12123132180 has 96 divisors (see below), whose sum is σ = 35069303808. Its totient is φ = 3125913600.
The previous prime is 12123132163. The next prime is 12123132181. The reversal of 12123132180 is 8123132121.
It is a self number, because there is not a number n which added to its sum of digits gives 12123132180.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12123132181) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3221500 + ... + 3225260.
It is an arithmetic number, because the mean of its divisors is an integer number (365305248).
Almost surely, 212123132180 is an apocalyptic number.
12123132180 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 12123132180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17534651904).
12123132180 is an abundant number, since it is smaller than the sum of its proper divisors (22946171628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12123132180 is a wasteful number, since it uses less digits than its factorization.
12123132180 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5537 (or 5535 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 24.
The spelling of 12123132180 in words is "twelve billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred eighty".
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