| Base | Representation |
|---|---|
| bin | 111000100000000000… |
| … | …1001000001111010000 |
| 3 | 102121011220200020002100 |
| 4 | 1301000001020033100 |
| 5 | 3441442234401000 |
| 6 | 131423433520400 |
| 7 | 11523514343316 |
| oct | 1610001101720 |
| 9 | 377156606070 |
| 10 | 121333122000 |
| 11 | 47503425442 |
| 12 | 1b622273100 |
| 13 | b59844b35c |
| 14 | 5c3040a0b6 |
| 15 | 3252039a00 |
| hex | 1c400483d0 |
121333122000 has 240 divisors, whose sum is σ = 424838054160. Its totient is φ = 32274432000.
The previous prime is 121333121993. The next prime is 121333122089. The reversal of 121333122000 is 221333121.
121333122000 is a `hidden beast` number, since 121 + 33 + 312 + 200 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 19436821056 + 101896300944 = 139416^2 + 319212^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 7353760 + ... + 7370240.
It is an arithmetic number, because the mean of its divisors is an integer number (1770158559).
Almost surely, 2121333122000 is an apocalyptic number.
121333122000 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 121333122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212419027080).
121333122000 is an abundant number, since it is smaller than the sum of its proper divisors (303504932160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121333122000 is a wasteful number, since it uses less digits than its factorization.
121333122000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16919 (or 16900 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 121333122000 its reverse (221333121), we get a palindrome (121554455121).
The spelling of 121333122000 in words is "one hundred twenty-one billion, three hundred thirty-three million, one hundred twenty-two thousand".
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