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12080016 = 243513239
BaseRepresentation
bin101110000101…
…001110010000
3211201201200000
4232011032100
511043030031
61110530000
7204451464
oct56051620
924651600
1012080016
116900993
124066900
13266c550
1418664a4
1510d93e6
hexb85390

12080016 has 120 divisors (see below), whose sum is σ = 37914240. Its totient is φ = 3701376.

The previous prime is 12079999. The next prime is 12080017. The reversal of 12080016 is 61008021.

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 (12080017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50425 + ... + 50663.

It is an arithmetic number, because the mean of its divisors is an integer number (315952).

Almost surely, 212080016 is an apocalyptic number.

12080016 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 12080016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957120).

12080016 is an abundant number, since it is smaller than the sum of its proper divisors (25834224).

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

12080016 is a wasteful number, since it uses less digits than its factorization.

12080016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

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

The square root of 12080016 is about 3475.6317411371. The cubic root of 12080016 is about 229.4505852857.

Adding to 12080016 its reverse (61008021), we get a palindrome (73088037).

The spelling of 12080016 in words is "twelve million, eighty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 239 243 312 324 351 432 468 478 486 624 648 702 717 936 956 972 1053 1296 1404 1434 1872 1912 1944 2106 2151 2808 2868 3107 3159 3824 3888 4212 4302 5616 5736 6214 6318 6453 8424 8604 9321 11472 12428 12636 12906 16848 17208 18642 19359 24856 25272 25812 27963 34416 37284 38718 49712 50544 51624 55926 58077 74568 77436 83889 103248 111852 116154 149136 154872 167778 223704 232308 251667 309744 335556 447408 464616 503334 671112 755001 929232 1006668 1342224 1510002 2013336 3020004 4026672 6040008 12080016