Base | Representation |
---|---|
bin | 1110100110001… |
… | …00111100000000 |
3 | 22112101200010100 |
4 | 13103010330000 |
5 | 222321111342 |
6 | 20052202400 |
7 | 3014510136 |
oct | 723047400 |
9 | 275350110 |
10 | 122441472 |
11 | 6312a0aa |
12 | 35009400 |
13 | 1c4a029a |
14 | 12393756 |
15 | ab38e4c |
hex | 74c4f00 |
122441472 has 108 divisors (see below), whose sum is σ = 371742280. Its totient is φ = 38651904.
The previous prime is 122441471. The next prime is 122441507. The reversal of 122441472 is 274144221.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122441471) 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 11 ways as a sum of consecutive naturals, for example, 42378 + ... + 45174.
Almost surely, 2122441472 is an apocalyptic number.
122441472 is a gapful number since it is divisible by the number (12) 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 122441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185871140).
122441472 is an abundant number, since it is smaller than the sum of its proper divisors (249300808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122441472 is a wasteful number, since it uses less digits than its factorization.
122441472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2838 (or 2821 counting only the distinct ones).
The product of its digits is 3584, while the sum is 27.
The square root of 122441472 is about 11065.3274691714. The cubic root of 122441472 is about 496.5650861028.
Adding to 122441472 its reverse (274144221), we get a palindrome (396585693).
The spelling of 122441472 in words is "one hundred twenty-two million, four hundred forty-one thousand, four hundred seventy-two".
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