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12480312 = 23313217181
BaseRepresentation
bin101111100110…
…111100111000
3212111001202210
4233212330320
511143332222
61123255120
7211036515
oct57467470
925431683
1012480312
117054709
12421a4a0
13277c800
14192c30c
151167d0c
hexbe6f38

12480312 has 96 divisors (see below), whose sum is σ = 35970480. Its totient is φ = 3594240.

The previous prime is 12480269. The next prime is 12480313. The reversal of 12480312 is 21308421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12480313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68862 + ... + 69042.

Almost surely, 212480312 is an apocalyptic number.

12480312 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 12480312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17985240).

12480312 is an abundant number, since it is smaller than the sum of its proper divisors (23490168).

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

12480312 is a wasteful number, since it uses less digits than its factorization.

12480312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12480312 is about 3532.7485050595. The cubic root of 12480312 is about 231.9575328532.

Adding to 12480312 its reverse (21308421), we get a palindrome (33788733).

The spelling of 12480312 in words is "twelve million, four hundred eighty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 169 181 204 221 312 338 362 408 442 507 543 663 676 724 884 1014 1086 1326 1352 1448 1768 2028 2172 2353 2652 2873 3077 4056 4344 4706 5304 5746 6154 7059 8619 9231 9412 11492 12308 14118 17238 18462 18824 22984 24616 28236 30589 34476 36924 40001 56472 61178 68952 73848 80002 91767 120003 122356 160004 183534 240006 244712 320008 367068 480012 520013 734136 960024 1040026 1560039 2080052 3120078 4160104 6240156 12480312