| Base | Representation |
|---|---|
| bin | 1011001100100110000101… |
| … | …1000001011110010000000 |
| 3 | 1121120220212110021002012100 |
| 4 | 2303021201120023302000 |
| 5 | 3103200422030000000 |
| 6 | 42103333325430400 |
| 7 | 2410304206260255 |
| oct | 263114130136200 |
| 9 | 47526773232170 |
| 10 | 12311010000000 |
| 11 | 3a1708521a058 |
| 12 | 1469b5840b400 |
| 13 | 6b3c0053769a |
| 14 | 307bdb07542c |
| 15 | 165386e96a00 |
| hex | b326160bc80 |
12311010000000 has 768 divisors, whose sum is σ = 45491783931360. Its totient is φ = 3193344000000.
The previous prime is 12311009999999. The next prime is 12311010000001. The reversal of 12311010000000 is 1011321.
It is an interprime number because it is at equal distance from previous prime (12311009999999) and next prime (12311010000001).
It can be written as a sum of positive squares in 16 ways, for example, as 12142325653056 + 168684346944 = 3484584^2 + 410712^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (12311010000001) 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 95 ways as a sum of consecutive naturals, for example, 3329998152 + ... + 3330001848.
Almost surely, 212311010000000 is an apocalyptic number.
12311010000000 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 12311010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22745891965680).
12311010000000 is an abundant number, since it is smaller than the sum of its proper divisors (33180773931360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12311010000000 is an frugal number, since it uses more digits than its factorization.
12311010000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3789 (or 3744 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
Adding to 12311010000000 its reverse (1011321), we get a palindrome (12311011011321).
The spelling of 12311010000000 in words is "twelve trillion, three hundred eleven billion, ten million", and thus it is an aban number.
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