| Base | Representation |
|---|---|
| bin | 1110011100100… |
| … | …10111100000000 |
| 3 | 22110000222211000 |
| 4 | 13032102330000 |
| 5 | 222011004341 |
| 6 | 20005252000 |
| 7 | 3001040031 |
| oct | 716227400 |
| 9 | 273028730 |
| 10 | 121188096 |
| 11 | 62453457 |
| 12 | 34704000 |
| 13 | 1c151943 |
| 14 | 12148a88 |
| 15 | a98c8b6 |
| hex | 7392f00 |
121188096 has 144 divisors (see below), whose sum is σ = 364240800. Its totient is φ = 39739392.
The previous prime is 121188091. The next prime is 121188097. The reversal of 121188096 is 690881121.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1211880962 = 29373109224210432, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 3.
It is a self number, because there is not a number n which added to its sum of digits gives 121188096.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (121188091) 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, 615070 + ... + 615266.
It is an arithmetic number, because the mean of its divisors is an integer number (2529450).
Almost surely, 2121188096 is an apocalyptic number.
121188096 is a gapful number since it is divisible by the number (16) 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 121188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182120400).
121188096 is an abundant number, since it is smaller than the sum of its proper divisors (243052704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121188096 is an equidigital number, since it uses as much as digits as its factorization.
121188096 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 311 (or 291 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 36.
The square root of 121188096 is about 11008.5464980623. The cubic root of 121188096 is about 494.8649034447.
The spelling of 121188096 in words is "one hundred twenty-one million, one hundred eighty-eight thousand, ninety-six".
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