| Base | Representation |
|---|---|
| bin | 10110101010110011… |
| … | …10001110011100000 |
| 3 | 1011102011110012122000 |
| 4 | 23111121301303200 |
| 5 | 144411040123300 |
| 6 | 5331350244000 |
| 7 | 610406216640 |
| oct | 132531616340 |
| 9 | 34364405560 |
| 10 | 12170239200 |
| 11 | 5185867929 |
| 12 | 2437956600 |
| 13 | 11bc4cb992 |
| 14 | 836494520 |
| 15 | 4b369bc00 |
| hex | 2d5671ce0 |
12170239200 has 288 divisors, whose sum is σ = 50304280320. Its totient is φ = 2781734400.
The previous prime is 12170239189. The next prime is 12170239201. The reversal of 12170239200 is 293207121.
12170239200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×121702392002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12170239201) 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 47 ways as a sum of consecutive naturals, for example, 110955 + ... + 191445.
It is an arithmetic number, because the mean of its divisors is an integer number (174667640).
Almost surely, 212170239200 is an apocalyptic number.
12170239200 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 12170239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25152140160).
12170239200 is an abundant number, since it is smaller than the sum of its proper divisors (38134041120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12170239200 is a wasteful number, since it uses less digits than its factorization.
12170239200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 80527 (or 80508 counting only the distinct ones).
The product of its (nonzero) digits is 1512, while the sum is 27.
The spelling of 12170239200 in words is "twelve billion, one hundred seventy million, two hundred thirty-nine thousand, two hundred".
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