| Base | Representation |
|---|---|
| bin | 110111111100001011… |
| … | …1011100001000110000 |
| 3 | 102111002010200122222011 |
| 4 | 1233320113130020300 |
| 5 | 3432012014323440 |
| 6 | 131104252252304 |
| 7 | 11451646514011 |
| oct | 1577027341060 |
| 9 | 374063618864 |
| 10 | 120131011120 |
| 11 | 46a4690777a |
| 12 | 1b347771094 |
| 13 | b436398143 |
| 14 | 5b588cb008 |
| 15 | 31d17339ea |
| hex | 1bf85dc230 |
120131011120 has 160 divisors (see below), whose sum is σ = 298498037760. Its totient is φ = 44857021440.
The previous prime is 120131011069. The next prime is 120131011123. The reversal of 120131011120 is 21110131021.
It is a happy number.
120131011120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 120131011120.
It is not an unprimeable number, because it can be changed into a prime (120131011123) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33638935 + ... + 33642505.
It is an arithmetic number, because the mean of its divisors is an integer number (1865612736).
Almost surely, 2120131011120 is an apocalyptic number.
120131011120 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 120131011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149249018880).
120131011120 is an abundant number, since it is smaller than the sum of its proper divisors (178367026640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120131011120 is a wasteful number, since it uses less digits than its factorization.
120131011120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4043 (or 4037 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 13.
Adding to 120131011120 its reverse (21110131021), we get a palindrome (141241142141).
The spelling of 120131011120 in words is "one hundred twenty billion, one hundred thirty-one million, eleven thousand, one hundred twenty".
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