Base | Representation |
---|---|
bin | 1110101011111… |
… | …10010111110100 |
3 | 22120211021000110 |
4 | 13111332113310 |
5 | 223014413022 |
6 | 20120343020 |
7 | 3024122424 |
oct | 725762764 |
9 | 276737013 |
10 | 123201012 |
11 | 635a8820 |
12 | 35314a70 |
13 | 1c6a7c0c |
14 | 12510484 |
15 | ac3900c |
hex | 757e5f4 |
123201012 has 48 divisors (see below), whose sum is σ = 316741824. Its totient is φ = 36960000.
The previous prime is 123201011. The next prime is 123201031. The reversal of 123201012 is 210102321.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123201011) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8712 + ... + 17952.
It is an arithmetic number, because the mean of its divisors is an integer number (6598788).
Almost surely, 2123201012 is an apocalyptic number.
123201012 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 123201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158370912).
123201012 is an abundant number, since it is smaller than the sum of its proper divisors (193540812).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123201012 is a wasteful number, since it uses less digits than its factorization.
123201012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9360 (or 9358 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 123201012 is about 11099.5951277513. The cubic root of 123201012 is about 497.5897493865.
Adding to 123201012 its reverse (210102321), we get a palindrome (333303333).
The spelling of 123201012 in words is "one hundred twenty-three million, two hundred one thousand, twelve".
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