Base | Representation |
---|---|
bin | 1110011100110… |
… | …11010000000000 |
3 | 22110002201112001 |
4 | 13032123100000 |
5 | 222013102034 |
6 | 20010113344 |
7 | 3001241221 |
oct | 716332000 |
9 | 273081461 |
10 | 121222144 |
11 | 62476a9a |
12 | 3471b854 |
13 | 1c1642a4 |
14 | 12157248 |
15 | a997a14 |
hex | 739b400 |
121222144 has 44 divisors (see below), whose sum is σ = 252910944. Its totient is φ = 57964544.
The previous prime is 121222141. The next prime is 121222151. The reversal of 121222144 is 441222121.
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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (121222141) 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, 20979 + ... + 26125.
It is an arithmetic number, because the mean of its divisors is an integer number (5747976).
Almost surely, 2121222144 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 121222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126455472).
121222144 is an abundant number, since it is smaller than the sum of its proper divisors (131688800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121222144 is an equidigital number, since it uses as much as digits as its factorization.
121222144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5190 (or 5172 counting only the distinct ones).
The product of its digits is 256, while the sum is 19.
The square root of 121222144 is about 11010.0928243135. The cubic root of 121222144 is about 494.9112434817.
Adding to 121222144 its reverse (441222121), we get a palindrome (562444265).
The spelling of 121222144 in words is "one hundred twenty-one million, two hundred twenty-two thousand, one hundred forty-four".
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