| Base | Representation |
|---|---|
| bin | 1010111100010110101111… |
| … | …1000010110011001010000 |
| 3 | 1120121020201200210202201100 |
| 4 | 2233011223320112121100 |
| 5 | 3034113030403030000 |
| 6 | 41331233002504400 |
| 7 | 2351166335562066 |
| oct | 257055370263120 |
| 9 | 46536650722640 |
| 10 | 12032013330000 |
| 11 | 391982593a524 |
| 12 | 1423a74b05100 |
| 13 | 6937c9c184c1 |
| 14 | 2d84d1592036 |
| 15 | 15cea8691a00 |
| hex | af16be16650 |
12032013330000 has 1200 divisors, whose sum is σ = 45282563891136. Its totient is φ = 2970839040000.
The previous prime is 12032013329989. The next prime is 12032013330011. The reversal of 12032013330000 is 3331023021.
12032013330000 is a `hidden beast` number, since 1 + 2 + 0 + 320 + 13 + 330 + 0 + 0 + 0 = 666.
12032013330000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (12032013329989) and next prime (12032013330011).
It is a tau number, because it is divible by the number of its divisors (1200).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34674389827 + ... + 34674390173.
Almost surely, 212032013330000 is an apocalyptic number.
12032013330000 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 12032013330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22641281945568).
12032013330000 is an abundant number, since it is smaller than the sum of its proper divisors (33250550561136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12032013330000 is a wasteful number, since it uses less digits than its factorization.
12032013330000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 702 (or 678 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 12032013330000 its reverse (3331023021), we get a palindrome (12035344353021).
The spelling of 12032013330000 in words is "twelve trillion, thirty-two billion, thirteen million, three hundred thirty thousand".
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