Base | Representation |
---|---|
bin | 10110100100110110… |
… | …10001100111100000 |
3 | 1011021200111000221000 |
4 | 23102123101213200 |
5 | 144310244100000 |
6 | 5322404032000 |
7 | 606231564414 |
oct | 132233214740 |
9 | 34250430830 |
10 | 12120300000 |
11 | 515a658866 |
12 | 2423092600 |
13 | 11b2065163 |
14 | 82d9b4d44 |
15 | 4ae0d5000 |
hex | 2d26d19e0 |
12120300000 has 432 divisors, whose sum is σ = 44855097840. Its totient is φ = 3183840000.
The previous prime is 12120299999. The next prime is 12120300007. The reversal of 12120300000 is 302121.
It is a happy number.
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 is a tau number, because it is divible by the number of its divisors (432).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12120300007) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 180899967 + ... + 180900033.
It is an arithmetic number, because the mean of its divisors is an integer number (103831245).
Almost surely, 212120300000 is an apocalyptic number.
12120300000 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 12120300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22427548920).
12120300000 is an abundant number, since it is smaller than the sum of its proper divisors (32734797840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12120300000 is an frugal number, since it uses more digits than its factorization.
12120300000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 178 (or 77 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 12120300000 its reverse (302121), we get a palindrome (12120602121).
The spelling of 12120300000 in words is "twelve billion, one hundred twenty million, three hundred thousand".
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