| Base | Representation |
|---|---|
| bin | 10100101101110001… |
| … | …00001001110000000 |
| 3 | 1001201001202020222200 |
| 4 | 22112320201032000 |
| 5 | 140234030124440 |
| 6 | 5035320433200 |
| 7 | 542411525502 |
| oct | 122670411600 |
| 9 | 31631666880 |
| 10 | 11121333120 |
| 11 | 47977801a7 |
| 12 | 21a4618800 |
| 13 | 10830ca2b1 |
| 14 | 777055d72 |
| 15 | 451559c30 |
| hex | 296e21380 |
11121333120 has 192 divisors, whose sum is σ = 38515314240. Its totient is φ = 2957045760.
The previous prime is 11121333077. The next prime is 11121333121. The reversal of 11121333120 is 2133312111.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 11121333093 and 11121333102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11121333121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2111290 + ... + 2116550.
It is an arithmetic number, because the mean of its divisors is an integer number (200600595).
Almost surely, 211121333120 is an apocalyptic number.
11121333120 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 11121333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19257657120).
11121333120 is an abundant number, since it is smaller than the sum of its proper divisors (27393981120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11121333120 is a wasteful number, since it uses less digits than its factorization.
11121333120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5653 (or 5638 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 11121333120 its reverse (2133312111), we get a palindrome (13254645231).
The spelling of 11121333120 in words is "eleven billion, one hundred twenty-one million, three hundred thirty-three thousand, one hundred twenty".
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