| Base | Representation |
|---|---|
| bin | 10110011011010110… |
| … | …01111101100000000 |
| 3 | 1011002010111212112000 |
| 4 | 23031223033230000 |
| 5 | 144124343202240 |
| 6 | 5310435504000 |
| 7 | 604243262010 |
| oct | 131553175400 |
| 9 | 34063455460 |
| 10 | 12040600320 |
| 11 | 5119672261 |
| 12 | 2400458000 |
| 13 | 119b6ab698 |
| 14 | 823189c40 |
| 15 | 4a70e0430 |
| hex | 2cdacfb00 |
12040600320 has 576 divisors, whose sum is σ = 49589729280. Its totient is φ = 2709504000.
The previous prime is 12040600309. The next prime is 12040600337. The reversal of 12040600320 is 2300604021.
It is a happy number.
12040600320 is a `hidden beast` number, since 1 + 2 + 0 + 40 + 600 + 3 + 20 = 666.
12040600320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (576).
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 = 12040600293 and 12040600302.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17175970 + ... + 17176670.
It is an arithmetic number, because the mean of its divisors is an integer number (86093280).
Almost surely, 212040600320 is an apocalyptic number.
12040600320 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 12040600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24794864640).
12040600320 is an abundant number, since it is smaller than the sum of its proper divisors (37549128960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12040600320 is an equidigital number, since it uses as much as digits as its factorization.
12040600320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 809 (or 789 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The spelling of 12040600320 in words is "twelve billion, forty million, six hundred thousand, three hundred twenty".
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