| Base | Representation |
|---|---|
| bin | 111000101001001000… |
| … | …0011010010000000000 |
| 3 | 102121222020110102110000 |
| 4 | 1301102100122100000 |
| 5 | 3443104103232244 |
| 6 | 131514044240000 |
| 7 | 11534221304400 |
| oct | 1612220322000 |
| 9 | 377866412400 |
| 10 | 121639117824 |
| 11 | 47650124654 |
| 12 | 1b6a8840000 |
| 13 | b616968283 |
| 14 | 5c5cd00800 |
| 15 | 326dd30169 |
| hex | 1c5241a400 |
121639117824 has 495 divisors, whose sum is σ = 424998940377. Its totient is φ = 34553143296.
The previous prime is 121639117819. The next prime is 121639117843. The reversal of 121639117824 is 428711936121.
The square root of 121639117824 is 348768.
It is a perfect power (a square), and thus also a powerful number.
121639117824 is a `hidden beast` number, since 1 + 2 + 1 + 639 + 1 + 1 + 7 + 8 + 2 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 110649369600 + 10989748224 = 332640^2 + 104832^2 .
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 121639117824.
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 44 ways as a sum of consecutive naturals, for example, 703116202 + ... + 703116374.
Almost surely, 2121639117824 is an apocalyptic number.
121639117824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
121639117824 is the 348768-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 121639117824
121639117824 is an abundant number, since it is smaller than the sum of its proper divisors (303359822553).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121639117824 is an frugal number, since it uses more digits than its factorization.
121639117824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 392 (or 185 counting only the distinct ones).
The product of its digits is 145152, while the sum is 45.
The spelling of 121639117824 in words is "one hundred twenty-one billion, six hundred thirty-nine million, one hundred seventeen thousand, eight hundred twenty-four".
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