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12404112 = 2437192967
BaseRepresentation
bin101111010100…
…010110010000
3212100012020120
4233110112100
511133412422
61121510240
7210301410
oct57242620
925305216
1012404112
117002436
1241a2380
132753c16
14190c640
15115045c
hexbd4590

12404112 has 160 divisors (see below), whose sum is σ = 40473600. Its totient is φ = 3193344.

The previous prime is 12404089. The next prime is 12404143. The reversal of 12404112 is 21140421.

It is a junction number, because it is equal to n+sod(n) for n = 12404091 and 12404100.

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 31 ways as a sum of consecutive naturals, for example, 185103 + ... + 185169.

It is an arithmetic number, because the mean of its divisors is an integer number (252960).

Almost surely, 212404112 is an apocalyptic number.

12404112 is a gapful number since it is divisible by the number (12) 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 12404112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20236800).

12404112 is an abundant number, since it is smaller than the sum of its proper divisors (28069488).

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

12404112 is a wasteful number, since it uses less digits than its factorization.

12404112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12404112 is about 3521.9471887012. The cubic root of 12404112 is about 231.4844875449.

Adding to 12404112 its reverse (21140421), we get a palindrome (33544533).

The spelling of 12404112 in words is "twelve million, four hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 29 38 42 48 56 57 58 67 76 84 87 112 114 116 133 134 152 168 174 201 203 228 232 266 268 304 336 348 399 402 406 456 464 469 532 536 551 609 696 798 804 812 912 938 1064 1072 1102 1218 1273 1392 1407 1596 1608 1624 1653 1876 1943 2128 2204 2436 2546 2814 3192 3216 3248 3306 3752 3819 3857 3886 4408 4872 5092 5628 5829 6384 6612 7504 7638 7714 7772 8816 8911 9744 10184 11256 11571 11658 13224 13601 15276 15428 15544 17822 20368 22512 23142 23316 26448 26733 27202 30552 30856 31088 35644 36917 40803 46284 46632 53466 54404 61104 61712 71288 73834 81606 92568 93264 106932 108808 110751 142576 147668 163212 185136 213864 217616 221502 258419 295336 326424 427728 443004 516838 590672 652848 775257 886008 1033676 1550514 1772016 2067352 3101028 4134704 6202056 12404112