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12144216 = 233772287
BaseRepresentation
bin101110010100…
…111001011000
3211211222201210
4232110321120
511102103331
61112143120
7205136610
oct56247130
924758653
1012144216
116945147
124097aa0
132692836
141881a40
1510ed446
hexb94e58

12144216 has 32 divisors (see below), whose sum is σ = 34698240. Its totient is φ = 3469728.

The previous prime is 12144199. The next prime is 12144217. The reversal of 12144216 is 61244121.

It is a happy number.

12144216 is digitally balanced in base 2 and base 8, because in such bases 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 (21).

It is a nude number because it is divisible by every one of its digits.

12144216 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 12144192 and 12144201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35976 + ... + 36311.

It is an arithmetic number, because the mean of its divisors is an integer number (1084320).

Almost surely, 212144216 is an apocalyptic number.

It is an amenable number.

12144216 is an abundant number, since it is smaller than the sum of its proper divisors (22554024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12144216 is a wasteful number, since it uses less digits than its factorization.

12144216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72303 (or 72299 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 12144216 is about 3484.8552337221. The cubic root of 12144216 is about 229.8563438145.

Adding to 12144216 its reverse (61244121), we get a palindrome (73388337).

The spelling of 12144216 in words is "twelve million, one hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 72287 144574 216861 289148 433722 506009 578296 867444 1012018 1518027 1734888 2024036 3036054 4048072 6072108 12144216