| Base | Representation |
|---|---|
| bin | 10110010111010011… |
| … | …10110100000110001 |
| 3 | 1010222202200120110000 |
| 4 | 23023221312200301 |
| 5 | 144042202240000 |
| 6 | 5303224500213 |
| 7 | 603352046532 |
| oct | 131351664061 |
| 9 | 33882616400 |
| 10 | 12006680625 |
| 11 | 5101504955 |
| 12 | 23b101a669 |
| 13 | 1194663564 |
| 14 | 81c87a689 |
| 15 | 4a4140000 |
| hex | 2cba76831 |
12006680625 has 75 divisors (see below), whose sum is σ = 22458824157. Its totient is φ = 6390414000.
The previous prime is 12006680551. The next prime is 12006680641. The reversal of 12006680625 is 52608660021.
The square root of 12006680625 is 109575.
It is a perfect power (a square), and thus also a powerful number.
12006680625 is a `hidden beast` number, since 1 + 20 + 0 + 6 + 6 + 8 + 0 + 625 = 666.
12006680625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 941323761 + 11065356864 = 30681^2 + 105192^2 .
It is a tau number, because it is divible by the number of its divisors (75).
It is not a de Polignac number, because 12006680625 - 233 = 3416746033 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 12006680625.
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 74 ways as a sum of consecutive naturals, for example, 24654132 + ... + 24654618.
Almost surely, 212006680625 is an apocalyptic number.
12006680625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
12006680625 is the 109575-th square number.
12006680625 is the 54788-th centered octagonal number.
It is an amenable number.
12006680625 is a deficient number, since it is larger than the sum of its proper divisors (10452143532).
12006680625 is an frugal number, since it uses more digits than its factorization.
12006680625 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1006 (or 495 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
Multiplying 12006680625 by its sum of digits (36), we get a square (432240502500 = 6574502).
The spelling of 12006680625 in words is "twelve billion, six million, six hundred eighty thousand, six hundred twenty-five".
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