| Base | Representation |
|---|---|
| bin | 1110011100000… |
| … | …00011000111000 |
| 3 | 22102220010121002 |
| 4 | 13032000120320 |
| 5 | 222001041440 |
| 6 | 20003504132 |
| 7 | 3000302363 |
| oct | 716003070 |
| 9 | 272803532 |
| 10 | 121112120 |
| 11 | 62401368 |
| 12 | 34688048 |
| 13 | 1c12619c |
| 14 | 121290da |
| 15 | a975115 |
| hex | 7380638 |
121112120 has 64 divisors (see below), whose sum is σ = 284407200. Its totient is φ = 46359040.
The previous prime is 121112113. The next prime is 121112129. The reversal of 121112120 is 21211121.
It is a super-2 number, since 2×1211121202 = 29336291221788800, which contains 22 as substring.
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (121112129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151562 + ... + 152358.
Almost surely, 2121112120 is an apocalyptic number.
121112120 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 121112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142203600).
121112120 is an abundant number, since it is smaller than the sum of its proper divisors (163295080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121112120 is a wasteful number, since it uses less digits than its factorization.
121112120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 968 (or 964 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 11.
The square root of 121112120 is about 11005.0951835956. The cubic root of 121112120 is about 494.7614672247.
Adding to 121112120 its reverse (21211121), we get a palindrome (142323241).
Subtracting from 121112120 its reverse (21211121), we obtain a palindrome (99900999).
It can be divided in two parts, 1211 and 12120, that added together give a palindrome (13331).
The spelling of 121112120 in words is "one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".
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