Base | Representation |
---|---|
bin | 1110100010110… |
… | …01011101000100 |
3 | 22111120022012201 |
4 | 13101121131010 |
5 | 222213014340 |
6 | 20034524244 |
7 | 3010664455 |
oct | 721313504 |
9 | 274508181 |
10 | 122001220 |
11 | 62959360 |
12 | 34a36684 |
13 | 1c377a93 |
14 | 122bb12c |
15 | aa9d79a |
hex | 7459744 |
122001220 has 48 divisors (see below), whose sum is σ = 284106816. Its totient is φ = 43632000.
The previous prime is 122001181. The next prime is 122001221. The reversal of 122001220 is 22100221.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 122001197 and 122001206.
It is not an unprimeable number, because it can be changed into a prime (122001221) 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, 8875 + ... + 17965.
It is an arithmetic number, because the mean of its divisors is an integer number (5918892).
Almost surely, 2122001220 is an apocalyptic number.
122001220 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 122001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142053408).
122001220 is an abundant number, since it is smaller than the sum of its proper divisors (162105596).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122001220 is a wasteful number, since it uses less digits than its factorization.
122001220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9172 (or 9170 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 122001220 is about 11045.4162438543. The cubic root of 122001220 is about 495.9692196039.
Adding to 122001220 its reverse (22100221), we get a palindrome (144101441).
Subtracting from 122001220 its reverse (22100221), we obtain a palindrome (99900999).
It can be divided in two parts, 122001 and 220, that added together give a palindrome (122221).
The spelling of 122001220 in words is "one hundred twenty-two million, one thousand, two hundred twenty".
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