| Base | Representation |
|---|---|
| bin | 1110100001111… |
| … | …01010011100000 |
| 3 | 22111100110001100 |
| 4 | 13100331103200 |
| 5 | 222200322140 |
| 6 | 20032234400 |
| 7 | 3010004352 |
| oct | 720752340 |
| 9 | 274313040 |
| 10 | 121885920 |
| 11 | 6288a772 |
| 12 | 3499ba00 |
| 13 | 1c337460 |
| 14 | 1228b0d2 |
| 15 | aa79530 |
| hex | 743d4e0 |
121885920 has 288 divisors, whose sum is σ = 475517952. Its totient is φ = 28164096.
The previous prime is 121885847. The next prime is 121885921. The reversal of 121885920 is 29588121.
It is a tau number, because it is divible by the number of its divisors (288).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (121885921) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318049 + ... + 318431.
It is an arithmetic number, because the mean of its divisors is an integer number (1651104).
Almost surely, 2121885920 is an apocalyptic number.
121885920 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 121885920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).
121885920 is an abundant number, since it is smaller than the sum of its proper divisors (353632032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121885920 is a wasteful number, since it uses less digits than its factorization.
121885920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 434 (or 423 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 36.
The square root of 121885920 is about 11040.1956504403. The cubic root of 121885920 is about 495.8129280652.
The spelling of 121885920 in words is "one hundred twenty-one million, eight hundred eighty-five thousand, nine hundred twenty".
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