Base | Representation |
---|---|
bin | 1011001100100110110101… |
… | …1010111000000000000000 |
3 | 1121120221101112102101000000 |
4 | 2303021231122320000000 |
5 | 3103201330240011000 |
6 | 42103405344000000 |
7 | 2410312211436660 |
oct | 263115532700000 |
9 | 47527345371000 |
10 | 12311212032000 |
11 | 3a1717926a752 |
12 | 1469bb4000000 |
13 | 6b3c3335384b |
14 | 307c19c261a0 |
15 | 165399aa3000 |
hex | b326d6b8000 |
12311212032000 has 3584 divisors, whose sum is σ = 57212117913600. Its totient is φ = 2579890176000.
The previous prime is 12311212031953. The next prime is 12311212032011. The reversal of 12311212032000 is 23021211321.
12311212032000 is a `hidden beast` number, since 12 + 311 + 2 + 1 + 20 + 320 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3584).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 12311212032000 = 43203 + 230403 = 155523 + 204483.
It is a congruent number.
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 223 ways as a sum of consecutive naturals, for example, 397135871985 + ... + 397135872015.
Almost surely, 212311212032000 is an apocalyptic number.
12311212032000 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 12311212032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28606058956800).
12311212032000 is an abundant number, since it is smaller than the sum of its proper divisors (44900905881600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12311212032000 is an frugal number, since it uses more digits than its factorization.
12311212032000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 120 (or 67 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 12311212032000 its reverse (23021211321), we get a palindrome (12334233243321).
The spelling of 12311212032000 in words is "twelve trillion, three hundred eleven billion, two hundred twelve million, thirty-two thousand".
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