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12122224 = 2417411087
BaseRepresentation
bin101110001111…
…100001110000
3211210212120021
4232033201300
511100402344
61111453224
7205015522
oct56174160
924725507
1012122224
11692a674
124087214
13268581a
141877a12
1510e6b84
hexb8f870

12122224 has 40 divisors (see below), whose sum is σ = 25498368. Its totient is φ = 5560320.

The previous prime is 12122221. The next prime is 12122237. The reversal of 12122224 is 42222121.

12122224 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 (16).

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

It is a junction number, because it is equal to n+sod(n) for n = 12122198 and 12122207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122221) 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, 10609 + ... + 11695.

Almost surely, 212122224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749184).

12122224 is an abundant number, since it is smaller than the sum of its proper divisors (13376144).

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

12122224 is a wasteful number, since it uses less digits than its factorization.

12122224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1147 counting only the distinct ones).

The product of its digits is 128, while the sum is 16.

The square root of 12122224 is about 3481.6984361084. The cubic root of 12122224 is about 229.7175107778.

Adding to 12122224 its reverse (42222121), we get a palindrome (54344345).

The spelling of 12122224 in words is "twelve million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1087 1394 2174 2788 4348 5576 8696 11152 17392 18479 36958 44567 73916 89134 147832 178268 295664 356536 713072 757639 1515278 3030556 6061112 12122224