| Base | Representation |
|---|---|
| bin | 10110010110110111… |
| … | …10100001011001000 |
| 3 | 1010222111202121222210 |
| 4 | 23023123310023020 |
| 5 | 144040232013112 |
| 6 | 5303013545120 |
| 7 | 603305553051 |
| oct | 131333641310 |
| 9 | 33874677883 |
| 10 | 12003001032 |
| 11 | 50aa421370 |
| 12 | 23ab9451a0 |
| 13 | 1193975799 |
| 14 | 81c19d728 |
| 15 | 4a3b64b3c |
| hex | 2cb6f42c8 |
12003001032 has 64 divisors (see below), whose sum is σ = 32810342400. Its totient is φ = 3628952640.
The previous prime is 12003001027. The next prime is 12003001039. The reversal of 12003001032 is 23010030021.
It is a happy number.
12003001032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 12003000999 and 12003001017.
It is not an unprimeable number, because it can be changed into a prime (12003001039) 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 15 ways as a sum of consecutive naturals, for example, 64113 + ... + 167679.
It is an arithmetic number, because the mean of its divisors is an integer number (512661600).
Almost surely, 212003001032 is an apocalyptic number.
12003001032 is a gapful number since it is divisible by the number (12) 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 12003001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405171200).
12003001032 is an abundant number, since it is smaller than the sum of its proper divisors (20807341368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12003001032 is a wasteful number, since it uses less digits than its factorization.
12003001032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 104026 (or 104022 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
Adding to 12003001032 its reverse (23010030021), we get a palindrome (35013031053).
The spelling of 12003001032 in words is "twelve billion, three million, one thousand, thirty-two".
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