Base | Representation |
---|---|
bin | 1110010100100… |
… | …11011000000000 |
3 | 22101001210220020 |
4 | 13022103120000 |
5 | 221224010222 |
6 | 15531013440 |
7 | 2656120134 |
oct | 712233000 |
9 | 271053806 |
10 | 120141312 |
11 | 618a8a45 |
12 | 3429a280 |
13 | 1bb76345 |
14 | 11d553c4 |
15 | a83265c |
hex | 7293600 |
120141312 has 160 divisors (see below), whose sum is σ = 350013312. Its totient is φ = 36470784.
The previous prime is 120141311. The next prime is 120141319. The reversal of 120141312 is 213141021.
It is a junction number, because it is equal to n+sod(n) for n = 120141291 and 120141300.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (120141311) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1122763 + ... + 1122869.
Almost surely, 2120141312 is an apocalyptic number.
120141312 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 120141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175006656).
120141312 is an abundant number, since it is smaller than the sum of its proper divisors (229872000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120141312 is a wasteful number, since it uses less digits than its factorization.
120141312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 188 (or 172 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 120141312 is about 10960.8992331834. The cubic root of 120141312 is about 493.4359530050.
Adding to 120141312 its reverse (213141021), we get a palindrome (333282333).
The spelling of 120141312 in words is "one hundred twenty million, one hundred forty-one thousand, three hundred twelve".
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