Base | Representation |
---|---|
bin | 111001010001101110… |
… | …0011000110101000000 |
3 | 102202111011110222200202 |
4 | 1302203130120311000 |
5 | 4003401302242344 |
6 | 132301142504332 |
7 | 11613041024162 |
oct | 1624334306500 |
9 | 382434428622 |
10 | 123001212224 |
11 | 48189a83300 |
12 | 1ba08a350a8 |
13 | b7a2c045a7 |
14 | 5d4bb86932 |
15 | 32ed6d894e |
hex | 1ca3718d40 |
123001212224 has 84 divisors (see below), whose sum is σ = 268449541332. Its totient is φ = 55875747840.
The previous prime is 123001212223. The next prime is 123001212227. The reversal of 123001212224 is 422212100321.
It can be written as a sum of positive squares in 2 ways, for example, as 47859437824 + 75141774400 = 218768^2 + 274120^2 .
It is a junction number, because it is equal to n+sod(n) for n = 123001212196 and 123001212205.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123001212223) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16359314 + ... + 16366830.
It is an arithmetic number, because the mean of its divisors is an integer number (3195827873).
Almost surely, 2123001212224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 123001212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134224770666).
123001212224 is an abundant number, since it is smaller than the sum of its proper divisors (145448329108).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123001212224 is a wasteful number, since it uses less digits than its factorization.
123001212224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9664 (or 9643 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
Adding to 123001212224 its reverse (422212100321), we get a palindrome (545213312545).
The spelling of 123001212224 in words is "one hundred twenty-three billion, one million, two hundred twelve thousand, two hundred twenty-four".
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