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12231296 = 277111773
BaseRepresentation
bin101110101010…
…001010000000
3212000102011222
4232222022000
511112400141
61114054212
7205651520
oct56521200
925012158
1012231296
1169a4610
12411a368
1326c336c
1418a5680
15111914b
hexbaa280

12231296 has 128 divisors (see below), whose sum is σ = 32607360. Its totient is φ = 4423680.

The previous prime is 12231283. The next prime is 12231311. The reversal of 12231296 is 69213221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167516 + ... + 167588.

It is an arithmetic number, because the mean of its divisors is an integer number (254745).

Almost surely, 212231296 is an apocalyptic number.

12231296 is a gapful number since it is divisible by the number (16) 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 12231296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303680).

12231296 is an abundant number, since it is smaller than the sum of its proper divisors (20376064).

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

12231296 is a wasteful number, since it uses less digits than its factorization.

12231296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 12231296 is about 3497.3269792800. The cubic root of 12231296 is about 230.4044302132.

The spelling of 12231296 in words is "twelve million, two hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 73 77 88 112 119 128 136 146 154 176 187 224 238 272 292 308 352 374 448 476 511 544 584 616 704 748 803 896 952 1022 1088 1168 1232 1241 1309 1408 1496 1606 1904 2044 2176 2336 2464 2482 2618 2992 3212 3808 4088 4672 4928 4964 5236 5621 5984 6424 7616 8176 8687 9344 9856 9928 10472 11242 11968 12848 13651 15232 16352 17374 19856 20944 22484 23936 25696 27302 32704 34748 39712 41888 44968 51392 54604 65408 69496 79424 83776 89936 95557 102784 109208 138992 158848 167552 179872 191114 218416 277984 359744 382228 436832 555968 719488 764456 873664 1111936 1528912 1747328 3057824 6115648 12231296