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12051312 = 2437133189
BaseRepresentation
bin101101111110…
…001101110000
3211200021021220
4231332031300
511041120222
61110145040
7204302010
oct55761560
924607256
1012051312
116891369
124052180
13265c470
141859c40
1510d0b5c
hexb7e370

12051312 has 160 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 3041280.

The previous prime is 12051293. The next prime is 12051323. The reversal of 12051312 is 21315021.

It is a junction number, because it is equal to n+sod(n) for n = 12051291 and 12051300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135364 + ... + 135452.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 212051312 is an apocalyptic number.

12051312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3471×3472.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12051312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

12051312 is an abundant number, since it is smaller than the sum of its proper divisors (27946128).

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

12051312 is a wasteful number, since it uses less digits than its factorization.

12051312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 12051312 is about 3471.4999639925. The cubic root of 12051312 is about 229.2687043712.

Adding to 12051312 its reverse (21315021), we get a palindrome (33366333).

The spelling of 12051312 in words is "twelve million, fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 89 91 93 104 112 124 156 168 178 182 186 208 217 248 267 273 312 336 356 364 372 403 434 496 534 546 623 624 651 712 728 744 806 868 1068 1092 1157 1209 1246 1302 1424 1456 1488 1612 1736 1869 2136 2184 2314 2418 2492 2604 2759 2821 3224 3471 3472 3738 4272 4368 4628 4836 4984 5208 5518 5642 6448 6942 7476 8099 8277 8463 9256 9672 9968 10416 11036 11284 13884 14952 16198 16554 16926 18512 19313 19344 22072 22568 24297 27768 29904 32396 33108 33852 35867 38626 44144 45136 48594 55536 57939 64792 66216 67704 71734 77252 97188 107601 115878 129584 132432 135408 143468 154504 194376 215202 231756 251069 286936 309008 388752 430404 463512 502138 573872 753207 860808 927024 1004276 1506414 1721616 2008552 3012828 4017104 6025656 12051312