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12634112 = 21131199
BaseRepresentation
bin110000001100…
…100000000000
3212202212202002
4300030200000
511213242422
61130443132
7212250101
oct60144000
925685662
1012634112
11714a217
1242934a8
13280480a
14196c3a8
151198692
hexc0c800

12634112 has 48 divisors (see below), whose sum is σ = 26208000. Its totient is φ = 6082560.

The previous prime is 12634103. The next prime is 12634121. The reversal of 12634112 is 21143621.

It is an interprime number because it is at equal distance from previous prime (12634103) and next prime (12634121).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63389 + ... + 63587.

It is an arithmetic number, because the mean of its divisors is an integer number (546000).

Almost surely, 212634112 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 12634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104000).

12634112 is an abundant number, since it is smaller than the sum of its proper divisors (13573888).

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

12634112 is an equidigital number, since it uses as much as digits as its factorization.

12634112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 12634112 is about 3554.4496057758. The cubic root of 12634112 is about 232.9064812856.

Adding to 12634112 its reverse (21143621), we get a palindrome (33777733).

The spelling of 12634112 in words is "twelve million, six hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 199 248 256 398 496 512 796 992 1024 1592 1984 2048 3184 3968 6169 6368 7936 12338 12736 15872 24676 25472 31744 49352 50944 63488 98704 101888 197408 203776 394816 407552 789632 1579264 3158528 6317056 12634112