Base | Representation |
---|---|
bin | 1110101100101… |
… | …10100010101100 |
3 | 22121000021211010 |
4 | 13112112202230 |
5 | 223031100022 |
6 | 20122425220 |
7 | 3025014153 |
oct | 726264254 |
9 | 277007733 |
10 | 123300012 |
11 | 63666140 |
12 | 35362210 |
13 | 1c710cb4 |
14 | 1253859a |
15 | ac5850c |
hex | 75968ac |
123300012 has 48 divisors (see below), whose sum is σ = 315302400. Its totient is φ = 37191360.
The previous prime is 123300011. The next prime is 123300013. The reversal of 123300012 is 210003321.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (123300011) and next prime (123300013).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (123300011) 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, 28189 + ... + 32267.
It is an arithmetic number, because the mean of its divisors is an integer number (6568800).
Almost surely, 2123300012 is an apocalyptic number.
123300012 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 123300012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157651200).
123300012 is an abundant number, since it is smaller than the sum of its proper divisors (192002388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123300012 is a wasteful number, since it uses less digits than its factorization.
123300012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4326 (or 4324 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 123300012 is about 11104.0538543363. The cubic root of 123300012 is about 497.7229955760.
Adding to 123300012 its reverse (210003321), we get a palindrome (333303333).
The spelling of 123300012 in words is "one hundred twenty-three million, three hundred thousand, twelve".
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