| Base | Representation |
|---|---|
| bin | 111000100001100101… |
| … | …0000000000000000000 |
| 3 | 102121022120202111012000 |
| 4 | 1301003022000000000 |
| 5 | 3442044224413300 |
| 6 | 131432554304000 |
| 7 | 11525024046000 |
| oct | 1610312000000 |
| 9 | 377276674160 |
| 10 | 121385779200 |
| 11 | 47530120594 |
| 12 | 1b637a28000 |
| 13 | b5a632706a |
| 14 | 5c373d6000 |
| 15 | 325698bc00 |
| hex | 1c43280000 |
121385779200 has 960 divisors, whose sum is σ = 520093200000. Its totient is φ = 27745320960.
The previous prime is 121385779187. The next prime is 121385779223. The reversal of 121385779200 is 2977583121.
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.
121385779200 is a `hidden beast` number, since 1 + 21 + 38 + 577 + 9 + 20 + 0 = 666.
121385779200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (960).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17340825597 + ... + 17340825603.
It is an arithmetic number, because the mean of its divisors is an integer number (541763750).
Almost surely, 2121385779200 is an apocalyptic number.
121385779200 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 121385779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260046600000).
121385779200 is an abundant number, since it is smaller than the sum of its proper divisors (398707420800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121385779200 is an frugal number, since it uses more digits than its factorization.
121385779200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 78 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 211680, while the sum is 45.
The spelling of 121385779200 in words is "one hundred twenty-one billion, three hundred eighty-five million, seven hundred seventy-nine thousand, two hundred".
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