| Base | Representation |
|---|---|
| bin | 111000011101010010… |
| … | …1111111001100101000 |
| 3 | 102120221120102220011221 |
| 4 | 1300322211333030220 |
| 5 | 3441300440333000 |
| 6 | 131410423231424 |
| 7 | 11521331011300 |
| oct | 1607245771450 |
| 9 | 376846386157 |
| 10 | 121242121000 |
| 11 | 47467020000 |
| 12 | 1b5b78a8574 |
| 13 | b582638900 |
| 14 | 5c222bc600 |
| 15 | 324906161a |
| hex | 1c3a97f328 |
121242121000 has 720 divisors, whose sum is σ = 393099536700. Its totient is φ = 34882848000.
The previous prime is 121242120983. The next prime is 121242121001. The reversal of 121242121000 is 121242121.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 6 ways, for example, as 5305956964 + 115936164036 = 72842^2 + 340494^2 .
It is not an unprimeable number, because it can be changed into a prime (121242121001) by changing a digit.
It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9326316994 + ... + 9326317006.
Almost surely, 2121242121000 is an apocalyptic number.
121242121000 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 121242121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196549768350).
121242121000 is an abundant number, since it is smaller than the sum of its proper divisors (271857415700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121242121000 is an equidigital number, since it uses as much as digits as its factorization.
121242121000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 105 (or 38 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 121242121000 its reverse (121242121), we get a palindrome (121363363121).
121242121000 divided by its reverse (121242121) gives a cube (1000 = 103).
It can be divided in two parts, 121242 and 121000, that added together give a palindrome (242242).
The spelling of 121242121000 in words is "one hundred twenty-one billion, two hundred forty-two million, one hundred twenty-one thousand".
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