| Base | Representation |
|---|---|
| bin | 101110001011… |
| … | …110001000100 |
| 3 | 211210002102202 |
| 4 | 232023301010 |
| 5 | 11044404240 |
| 6 | 1111254032 |
| 7 | 204622565 |
| oct | 56136104 |
| 9 | 24702382 |
| 10 | 12106820 |
| 11 | 691a040 |
| 12 | 407a318 |
| 13 | 267b7cb |
| 14 | 187216c |
| 15 | 10e2315 |
| hex | b8bc44 |
12106820 has 48 divisors (see below), whose sum is σ = 28038528. Its totient is φ = 4354560.
The previous prime is 12106817. The next prime is 12106823. The reversal of 12106820 is 2860121.
It is an interprime number because it is at equal distance from previous prime (12106817) and next prime (12106823).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 12106792 and 12106801.
It is not an unprimeable number, because it can be changed into a prime (12106823) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24617 + ... + 25103.
It is an arithmetic number, because the mean of its divisors is an integer number (584136).
Almost surely, 212106820 is an apocalyptic number.
12106820 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 12106820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14019264).
12106820 is an abundant number, since it is smaller than the sum of its proper divisors (15931708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12106820 is a wasteful number, since it uses less digits than its factorization.
12106820 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 620 (or 618 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 20.
The square root of 12106820 is about 3479.4855941647. The cubic root of 12106820 is about 229.6201670218.
Adding to 12106820 its reverse (2860121), we get a palindrome (14966941).
The spelling of 12106820 in words is "twelve million, one hundred six thousand, eight hundred twenty".
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