Base | Representation |
---|---|
bin | 1010111011001100001100… |
… | …1010111111111011000000 |
3 | 1120112100002010211200101000 |
4 | 2232303003022333323000 |
5 | 3033301040232000000 |
6 | 41314123224012000 |
7 | 2346560426562423 |
oct | 256630312777300 |
9 | 46470063750330 |
10 | 12012003000000 |
11 | 39112975a5413 |
12 | 142000b601000 |
13 | 69195b364a53 |
14 | 2d7553b7b9ba |
15 | 15c6d6a85000 |
hex | aecc32bfec0 |
12012003000000 has 1764 divisors, whose sum is σ = 47789389069240. Its totient is φ = 2958278400000.
The previous prime is 12012002999999. The next prime is 12012003000061. The reversal of 12012003000000 is 30021021.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 414206999986 + ... + 414207000014.
Almost surely, 212012003000000 is an apocalyptic number.
12012003000000 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 12012003000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23894694534620).
12012003000000 is an abundant number, since it is smaller than the sum of its proper divisors (35777386069240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12012003000000 is an frugal number, since it uses more digits than its factorization.
12012003000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 155 (or 62 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Multiplying 12012003000000 by its product of nonzero digits (12), we get a square (144144036000000 = 120060002).
12012003000000 divided by its product of nonzero digits (12) gives a square (1001000250000 = 10005002).
Adding to 12012003000000 its reverse (30021021), we get a palindrome (12012033021021).
The spelling of 12012003000000 in words is "twelve trillion, twelve billion, three million", and thus it is an aban number and an uban number.
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