Base | Representation |
---|---|
bin | 101110001010… |
… | …000110100000 |
3 | 211202202002011 |
4 | 232022012200 |
5 | 11044200000 |
6 | 1111202304 |
7 | 204563653 |
oct | 56120640 |
9 | 24682064 |
10 | 12100000 |
11 | 6914a00 |
12 | 4076394 |
13 | 2678683 |
14 | 186d89a |
15 | 10e02ba |
hex | b8a1a0 |
12100000 has 108 divisors (see below), whose sum is σ = 32728374. Its totient is φ = 4400000.
The previous prime is 12099991. The next prime is 12100003. The reversal of 12100000 is 121.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 12082576 = 132^2 + 3476^2 .
It is a Harshad number since it is a multiple of its sum of digits (4).
It is not an unprimeable number, because it can be changed into a prime (12100003) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1099995 + ... + 1100005.
Almost surely, 212100000 is an apocalyptic number.
12100000 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 12100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16364187).
12100000 is an abundant number, since it is smaller than the sum of its proper divisors (20628374).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12100000 is an frugal number, since it uses more digits than its factorization.
12100000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57 (or 18 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 4.
The square root of 12100000 is about 3478.5054261852. The cubic root of 12100000 is about 229.5770424666.
Adding to 12100000 its reverse (121), we get a palindrome (12100121).
12100000 divided by its reverse (121) gives a 5-th power (100000 = 105).
The spelling of 12100000 in words is "twelve million, one hundred thousand".
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