Search a number
-
+
12122664 = 233505111
BaseRepresentation
bin101110001111…
…101000101000
3211210220011120
4232033220220
511100411124
61111455240
7205020021
oct56175050
924726146
1012122664
11692aa34
124087520
132685a98
141877c48
1510e6d79
hexb8fa28

12122664 has 16 divisors (see below), whose sum is σ = 30306720. Its totient is φ = 4040880.

The previous prime is 12122659. The next prime is 12122723. The reversal of 12122664 is 46622121.

12122664 is digitally balanced in base 2, because in such base 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 (24), and also a Moran number because the ratio is a prime number: 505111 = 12122664 / (1 + 2 + 1 + 2 + 2 + 6 + 6 + 4).

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252532 + ... + 252579.

It is an arithmetic number, because the mean of its divisors is an integer number (1894170).

Almost surely, 212122664 is an apocalyptic number.

It is an amenable number.

12122664 is an abundant number, since it is smaller than the sum of its proper divisors (18184056).

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

12122664 is a wasteful number, since it uses less digits than its factorization.

12122664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505120 (or 505116 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 12122664 is about 3481.7616230868. The cubic root of 12122664 is about 229.7202900940.

Adding to 12122664 its reverse (46622121), we get a palindrome (58744785).

The spelling of 12122664 in words is "twelve million, one hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 505111 1010222 1515333 2020444 3030666 4040888 6061332 12122664