Base | Representation |
---|---|
bin | 101110100010… |
… | …110011101000 |
3 | 211221212220000 |
4 | 232202303220 |
5 | 11110414232 |
6 | 1113303000 |
7 | 205464663 |
oct | 56426350 |
9 | 24855800 |
10 | 12201192 |
11 | 6983a33 |
12 | 4104a60 |
13 | 26b2753 |
14 | 18986da |
15 | 111027c |
hex | ba2ce8 |
12201192 has 80 divisors (see below), whose sum is σ = 36009600. Its totient is φ = 3849120.
The previous prime is 12201191. The next prime is 12201193. The reversal of 12201192 is 29110221.
12201192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (12201191) and next prime (12201193).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (12201191) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11817 + ... + 12807.
It is an arithmetic number, because the mean of its divisors is an integer number (450120).
Almost surely, 212201192 is an apocalyptic number.
12201192 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 12201192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004800).
12201192 is an abundant number, since it is smaller than the sum of its proper divisors (23808408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12201192 is a wasteful number, since it uses less digits than its factorization.
12201192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1028 (or 1015 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
The square root of 12201192 is about 3493.0204694505. The cubic root of 12201192 is about 230.2152490287.
The spelling of 12201192 in words is "twelve million, two hundred one thousand, one hundred ninety-two".
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