| Base | Representation |
|---|---|
| bin | 100011110010110… |
| … | …0100100000100000 |
| 3 | 10002200221201002001 |
| 4 | 1013211210200200 |
| 5 | 4424430444300 |
| 6 | 315102133344 |
| 7 | 41522411455 |
| oct | 10745444040 |
| 9 | 3080851061 |
| 10 | 1201031200 |
| 11 | 566a50576 |
| 12 | 296281254 |
| 13 | 161a95965 |
| 14 | b571b82c |
| 15 | 7069116a |
| hex | 47964820 |
1201031200 has 72 divisors (see below), whose sum is σ = 2943444420. Its totient is φ = 478540800.
The previous prime is 1201031197. The next prime is 1201031203. The reversal of 1201031200 is 21301021.
It is an interprime number because it is at equal distance from previous prime (1201031197) and next prime (1201031203).
It can be written as a sum of positive squares in 6 ways, for example, as 95335696 + 1105695504 = 9764^2 + 33252^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (1201031203) 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, 212410 + ... + 217990.
Almost surely, 21201031200 is an apocalyptic number.
1201031200 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 1201031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471722210).
1201031200 is an abundant number, since it is smaller than the sum of its proper divisors (1742413220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1201031200 is a wasteful number, since it uses less digits than its factorization.
1201031200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5870 (or 5857 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
The square root of 1201031200 is about 34655.8970450918. The cubic root of 1201031200 is about 1062.9628746761.
Adding to 1201031200 its reverse (21301021), we get a palindrome (1222332221).
The spelling of 1201031200 in words is "one billion, two hundred one million, thirty-one thousand, two hundred".
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