| Base | Representation |
|---|---|
| bin | 1110100000111… |
| … | …11110110000000 |
| 3 | 22111010022112000 |
| 4 | 13100133312000 |
| 5 | 222132441443 |
| 6 | 20025504000 |
| 7 | 3005662503 |
| oct | 720376600 |
| 9 | 274108460 |
| 10 | 121765248 |
| 11 | 62808040 |
| 12 | 34942000 |
| 13 | 1c2c4557 |
| 14 | 1225913a |
| 15 | aa538d3 |
| hex | 741fd80 |
121765248 has 128 divisors (see below), whose sum is σ = 392169600. Its totient is φ = 36887040.
The previous prime is 121765247. The next prime is 121765283. The reversal of 121765248 is 842567121.
121765248 is a `hidden beast` number, since 121 + 7 + 6 + 524 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (121765247) 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 15 ways as a sum of consecutive naturals, for example, 36415 + ... + 39617.
It is an arithmetic number, because the mean of its divisors is an integer number (3063825).
Almost surely, 2121765248 is an apocalyptic number.
121765248 is a gapful number since it is divisible by the number (18) 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 121765248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196084800).
121765248 is an abundant number, since it is smaller than the sum of its proper divisors (270404352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121765248 is a wasteful number, since it uses less digits than its factorization.
121765248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3237 (or 3219 counting only the distinct ones).
The product of its digits is 26880, while the sum is 36.
The square root of 121765248 is about 11034.7291765589. The cubic root of 121765248 is about 495.6492490734.
It can be divided in two parts, 12176 and 5248, that added together give a square (17424 = 1322).
The spelling of 121765248 in words is "one hundred twenty-one million, seven hundred sixty-five thousand, two hundred forty-eight".
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