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12122304 = 263193323
BaseRepresentation
bin101110001111…
…100011000000
3211210212200020
4232033203000
511100403204
61111453440
7205015665
oct56174300
924725606
1012122304
11692a737
124087280
13268587c
141877a6c
1510e6bd9
hexb8f8c0

12122304 has 56 divisors (see below), whose sum is σ = 33771840. Its totient is φ = 3826944.

The previous prime is 12122293. The next prime is 12122339. The reversal of 12122304 is 40322121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1987 + ... + 5309.

Almost surely, 212122304 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 12122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16885920).

12122304 is an abundant number, since it is smaller than the sum of its proper divisors (21649536).

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

12122304 is a wasteful number, since it uses less digits than its factorization.

12122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12122304 is about 3481.7099247353. The cubic root of 12122304 is about 229.7180161130.

Adding to 12122304 its reverse (40322121), we get a palindrome (52444425).

The spelling of 12122304 in words is "twelve million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3323 3648 6646 9969 13292 19938 26584 39876 53168 63137 79752 106336 126274 159504 189411 212672 252548 319008 378822 505096 638016 757644 1010192 1515288 2020384 3030576 4040768 6061152 12122304