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12444012 = 223271923113
BaseRepresentation
bin101111011110…
…000101101100
3212102012222100
4233132011230
511141202022
61122415100
7210525630
oct57360554
925365870
1012444012
11702a409
124201490
132769129
14191cdc0
15115c1ac
hexbde16c

12444012 has 144 divisors (see below), whose sum is σ = 39836160. Its totient is φ = 3193344.

The previous prime is 12444011. The next prime is 12444023. The reversal of 12444012 is 21044421.

It is a super-2 number, since 2×124440122 = 309706869312288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12444011) 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, 110068 + ... + 110180.

It is an arithmetic number, because the mean of its divisors is an integer number (276640).

Almost surely, 212444012 is an apocalyptic number.

12444012 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 12444012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918080).

12444012 is an abundant number, since it is smaller than the sum of its proper divisors (27392148).

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

12444012 is a wasteful number, since it uses less digits than its factorization.

12444012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 12444012 is about 3527.6071209816. The cubic root of 12444012 is about 231.7324253630.

Adding to 12444012 its reverse (21044421), we get a palindrome (33488433).

The spelling of 12444012 in words is "twelve million, four hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 23 28 36 38 42 46 57 63 69 76 84 92 113 114 126 133 138 161 171 207 226 228 252 266 276 322 339 342 399 414 437 452 483 532 644 678 684 791 798 828 874 966 1017 1197 1311 1356 1449 1582 1596 1748 1932 2034 2147 2373 2394 2599 2622 2898 3059 3164 3933 4068 4294 4746 4788 5198 5244 5796 6118 6441 7119 7797 7866 8588 9177 9492 10396 12236 12882 14238 15029 15594 15732 18193 18354 19323 23391 25764 27531 28476 30058 31188 36386 36708 38646 45087 46782 49381 54579 55062 60116 72772 77292 90174 93564 98762 109158 110124 135261 148143 163737 180348 197524 218316 270522 296286 327474 345667 444429 541044 592572 654948 691334 888858 1037001 1382668 1777716 2074002 3111003 4148004 6222006 12444012