| Base | Representation |
|---|---|
| bin | 10110011110001111… |
| … | …10011101010000000 |
| 3 | 1011010211011122021000 |
| 4 | 23033013303222000 |
| 5 | 144202101134041 |
| 6 | 5313103532000 |
| 7 | 604656442140 |
| oct | 131707635200 |
| 9 | 34124148230 |
| 10 | 12064864896 |
| 11 | 5131335627 |
| 12 | 24085ba000 |
| 13 | 11a3725c16 |
| 14 | 8264a4920 |
| 15 | 4a92d4bb6 |
| hex | 2cf1f3a80 |
12064864896 has 384 divisors, whose sum is σ = 42217718400. Its totient is φ = 3322626048.
The previous prime is 12064864849. The next prime is 12064864897. The reversal of 12064864896 is 69846846021.
12064864896 is a `hidden beast` number, since 1 + 20 + 64 + 86 + 489 + 6 = 666.
12064864896 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 (384).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (12064864897) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 20345176 + ... + 20345768.
It is an arithmetic number, because the mean of its divisors is an integer number (109941975).
Almost surely, 212064864896 is an apocalyptic number.
12064864896 is a gapful number since it is divisible by the number (16) 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 12064864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21108859200).
12064864896 is an abundant number, since it is smaller than the sum of its proper divisors (30152853504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12064864896 is an equidigital number, since it uses as much as digits as its factorization.
12064864896 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 681 (or 634 counting only the distinct ones).
The product of its (nonzero) digits is 3981312, while the sum is 54.
The spelling of 12064864896 in words is "twelve billion, sixty-four million, eight hundred sixty-four thousand, eight hundred ninety-six".
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