| Base | Representation |
|---|---|
| bin | 1110011101001… |
| … | …10001000100000 |
| 3 | 22110011222200000 |
| 4 | 13032212020200 |
| 5 | 222021013340 |
| 6 | 20011100000 |
| 7 | 3001515201 |
| oct | 716461040 |
| 9 | 273158600 |
| 10 | 121266720 |
| 11 | 624a7533 |
| 12 | 34741600 |
| 13 | 1c17b673 |
| 14 | 121695a8 |
| 15 | a9a5d30 |
| hex | 73a6220 |
121266720 has 144 divisors (see below), whose sum is σ = 429287040. Its totient is φ = 32327424.
The previous prime is 121266713. The next prime is 121266727. The reversal of 121266720 is 27662121.
It is an interprime number because it is at equal distance from previous prime (121266713) and next prime (121266727).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a zygodrome in base 3.
It is not an unprimeable number, because it can be changed into a prime (121266727) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 37321 + ... + 40439.
It is an arithmetic number, because the mean of its divisors is an integer number (2981160).
Almost surely, 2121266720 is an apocalyptic number.
121266720 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 121266720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).
121266720 is an abundant number, since it is smaller than the sum of its proper divisors (308020320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121266720 is an equidigital number, since it uses as much as digits as its factorization.
121266720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3149 (or 3129 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 27.
The square root of 121266720 is about 11012.1169626916. The cubic root of 121266720 is about 494.9718992312.
The spelling of 121266720 in words is "one hundred twenty-one million, two hundred sixty-six thousand, seven hundred twenty".
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