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12081312 = 25345979
BaseRepresentation
bin101110000101…
…100010100000
3211201210110000
4232011202200
511043100222
61110540000
7204455325
oct56054240
924653400
1012081312
116901961
124067600
132670009
141866b4c
1510d99ac
hexb858a0

12081312 has 120 divisors (see below), whose sum is σ = 36590400. Its totient is φ = 3908736.

The previous prime is 12081299. The next prime is 12081319. The reversal of 12081312 is 21318021.

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 (12081319) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152889 + ... + 152967.

It is an arithmetic number, because the mean of its divisors is an integer number (304920).

Almost surely, 212081312 is an apocalyptic number.

12081312 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 12081312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295200).

12081312 is an abundant number, since it is smaller than the sum of its proper divisors (24509088).

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

12081312 is an equidigital number, since it uses as much as digits as its factorization.

12081312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12081312 is about 3475.8181770628. The cubic root of 12081312 is about 229.4587904990.

Adding to 12081312 its reverse (21318021), we get a palindrome (33399333).

The spelling of 12081312 in words is "twelve million, eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 79 81 96 108 118 144 158 162 177 216 236 237 288 316 324 354 432 472 474 531 632 648 708 711 864 944 948 1062 1264 1296 1416 1422 1593 1888 1896 2124 2133 2528 2592 2832 2844 3186 3792 4248 4266 4661 4779 5664 5688 6372 6399 7584 8496 8532 9322 9558 11376 12744 12798 13983 16992 17064 18644 19116 22752 25488 25596 27966 34128 37288 38232 41949 50976 51192 55932 68256 74576 76464 83898 102384 111864 125847 149152 152928 167796 204768 223728 251694 335592 377541 447456 503388 671184 755082 1006776 1342368 1510164 2013552 3020328 4027104 6040656 12081312