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12948012 = 2235711173
BaseRepresentation
bin110001011001…
…001000101100
3220100211100000
4301121020230
511303314022
61141304300
7215025210
oct61311054
926324300
1012948012
117344040
124405090
1328b465c
141a10940
15120b6ac
hexc5922c

12948012 has 144 divisors (see below), whose sum is σ = 42561792. Its totient is φ = 3343680.

The previous prime is 12947993. The next prime is 12948017. The reversal of 12948012 is 21084921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12948017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74758 + ... + 74930.

It is an arithmetic number, because the mean of its divisors is an integer number (295568).

Almost surely, 212948012 is an apocalyptic number.

12948012 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 12948012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21280896).

12948012 is an abundant number, since it is smaller than the sum of its proper divisors (29613780).

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

12948012 is a wasteful number, since it uses less digits than its factorization.

12948012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12948012 is about 3598.3346147906. The cubic root of 12948012 is about 234.8196110762.

The spelling of 12948012 in words is "twelve million, nine hundred forty-eight thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 173 189 198 231 243 252 297 308 324 346 378 396 462 486 519 567 594 692 693 756 891 924 972 1038 1134 1188 1211 1386 1557 1701 1782 1903 2076 2079 2268 2422 2673 2772 3114 3402 3564 3633 3806 4158 4671 4844 5346 5709 6228 6237 6804 7266 7612 8316 9342 10692 10899 11418 12474 13321 14013 14532 17127 18684 18711 21798 22836 24948 26642 28026 32697 34254 37422 39963 42039 43596 51381 53284 56052 65394 68508 74844 79926 84078 98091 102762 119889 130788 154143 159852 168156 196182 205524 239778 294273 308286 359667 392364 462429 479556 588546 616572 719334 924858 1079001 1177092 1438668 1849716 2158002 3237003 4316004 6474006 12948012