Base | Representation |
---|---|
bin | 111000111100110101… |
… | …0010111000110111000 |
3 | 102200200022110111202200 |
4 | 1301321222113012320 |
5 | 4000432324411440 |
6 | 132103422230200 |
7 | 11556466551333 |
oct | 1617152270670 |
9 | 380608414680 |
10 | 122300232120 |
11 | 4795a324600 |
12 | 1b852125360 |
13 | b6c0911071 |
14 | 5cc2a3561a |
15 | 32abdc0c30 |
hex | 1c79a971b8 |
122300232120 has 288 divisors, whose sum is σ = 437419710000. Its totient is φ = 29612943360.
The previous prime is 122300232077. The next prime is 122300232127. The reversal of 122300232120 is 21232003221.
122300232120 is a `hidden beast` number, since 1 + 22 + 300 + 2 + 321 + 20 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 122300232093 and 122300232102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122300232127) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65295504 + ... + 65297376.
Almost surely, 2122300232120 is an apocalyptic number.
122300232120 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 122300232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218709855000).
122300232120 is an abundant number, since it is smaller than the sum of its proper divisors (315119477880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122300232120 is a wasteful number, since it uses less digits than its factorization.
122300232120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3411 (or 3393 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 122300232120 its reverse (21232003221), we get a palindrome (143532235341).
The spelling of 122300232120 in words is "one hundred twenty-two billion, three hundred million, two hundred thirty-two thousand, one hundred twenty".
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