| Base | Representation |
|---|---|
| bin | 100011110000110… |
| … | …1001010001000000 |
| 3 | 10002122000102102200 |
| 4 | 1013201221101000 |
| 5 | 4424200031422 |
| 6 | 315024113200 |
| 7 | 41510564301 |
| oct | 10741512100 |
| 9 | 3078012380 |
| 10 | 1200002112 |
| 11 | 566408391 |
| 12 | 295a65800 |
| 13 | 1617c542a |
| 14 | b55307a8 |
| 15 | 7053b2ac |
| hex | 47869440 |
1200002112 has 84 divisors (see below), whose sum is σ = 3447188940. Its totient is φ = 399117312.
The previous prime is 1200002101. The next prime is 1200002117. The reversal of 1200002112 is 2112000021.
It can be written as a sum of positive squares in 2 ways, for example, as 749883456 + 450118656 = 27384^2 + 21216^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 1200002094 and 1200002103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1200002117) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291138 + ... + 295230.
Almost surely, 21200002112 is an apocalyptic number.
1200002112 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 1200002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723594470).
1200002112 is an abundant number, since it is smaller than the sum of its proper divisors (2247186828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1200002112 is a wasteful number, since it uses less digits than its factorization.
1200002112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4620 (or 4607 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1200002112 is about 34641.0466354583. The cubic root of 1200002112 is about 1062.6591926086.
Adding to 1200002112 its reverse (2112000021), we get a palindrome (3312002133).
The spelling of 1200002112 in words is "one billion, two hundred million, two thousand, one hundred twelve".
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