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12011104 = 25729432
BaseRepresentation
bin101101110100…
…011001100000
3211121020010201
4231310121200
511033323404
61105234544
7204043540
oct55643140
924536121
1012011104
116864136
124032a54
132647081
141849320
1510c3ca4
hexb74660

12011104 has 72 divisors (see below), whose sum is σ = 28622160. Its totient is φ = 4854528.

The previous prime is 12011099. The next prime is 12011113. The reversal of 12011104 is 40111021.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 279307 + ... + 279349.

It is an arithmetic number, because the mean of its divisors is an integer number (397530).

Almost surely, 212011104 is an apocalyptic number.

12011104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14311080).

12011104 is an abundant number, since it is smaller than the sum of its proper divisors (16611056).

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

12011104 is an equidigital number, since it uses as much as digits as its factorization.

12011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 12011104 is about 3465.7039688929. The cubic root of 12011104 is about 229.0134428904.

Adding to 12011104 its reverse (40111021), we get a palindrome (52122125).

The spelling of 12011104 in words is "twelve million, eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 43 56 58 86 112 116 172 203 224 232 301 344 406 464 602 688 812 928 1204 1247 1376 1624 1849 2408 2494 3248 3698 4816 4988 6496 7396 8729 9632 9976 12943 14792 17458 19952 25886 29584 34916 39904 51772 53621 59168 69832 103544 107242 139664 207088 214484 279328 375347 414176 428968 750694 857936 1501388 1715872 3002776 6005552 12011104