Base | Representation |
---|---|
bin | 1110011101011… |
… | …00010100000000 |
3 | 22110020021101111 |
4 | 13032230110000 |
5 | 222022321112 |
6 | 20011413104 |
7 | 3001652041 |
oct | 716542400 |
9 | 273207344 |
10 | 121292032 |
11 | 62514554 |
12 | 34754194 |
13 | 1c18a044 |
14 | 121748c8 |
15 | a9ad5a7 |
hex | 73ac500 |
121292032 has 36 divisors (see below), whose sum is σ = 242958016. Its totient is φ = 60433920.
The previous prime is 121292027. The next prime is 121292033. The reversal of 121292032 is 230292121.
It is a junction number, because it is equal to n+sod(n) for n = 121291994 and 121292012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (121292033) 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 3 ways as a sum of consecutive naturals, for example, 93307 + ... + 94597.
Almost surely, 2121292032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 121292032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121479008).
121292032 is an abundant number, since it is smaller than the sum of its proper divisors (121665984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121292032 is an equidigital number, since it uses as much as digits as its factorization.
121292032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1674 (or 1660 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 22.
The square root of 121292032 is about 11013.2661822004. The cubic root of 121292032 is about 495.0063353269.
It can be divided in two parts, 12129 and 2032, that added together give a square (14161 = 1192).
The spelling of 121292032 in words is "one hundred twenty-one million, two hundred ninety-two thousand, thirty-two".
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