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12000016 = 247307349
BaseRepresentation
bin101101110001…
…101100010000
3211120122221001
4231301230100
511033000031
61105111344
7203666320
oct55615420
924518831
1012000016
116856876
124028554
132642002
141845280
1510c0861
hexb71b10

12000016 has 40 divisors (see below), whose sum is σ = 26734400. Its totient is φ = 5111424.

The previous prime is 11999989. The next prime is 12000017. The reversal of 12000016 is 61000021.

It is a super-4 number, since 4×120000164 (a number of 29 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11999966 and 12000011.

It is not an unprimeable number, because it can be changed into a prime (12000017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34210 + ... + 34558.

It is an arithmetic number, because the mean of its divisors is an integer number (668360).

Almost surely, 212000016 is an apocalyptic number.

12000016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12000016 is an abundant number, since it is smaller than the sum of its proper divisors (14734384).

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

12000016 is a wasteful number, since it uses less digits than its factorization.

12000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 12000016 is about 3464.1039245381. The cubic root of 12000016 is about 228.9429502630.

Adding to 12000016 its reverse (61000021), we get a palindrome (73000037).

The spelling of 12000016 in words is "twelve million, sixteen", and thus it is an aban number and an uban number.

Divisors: 1 2 4 7 8 14 16 28 56 112 307 349 614 698 1228 1396 2149 2443 2456 2792 4298 4886 4912 5584 8596 9772 17192 19544 34384 39088 107143 214286 428572 750001 857144 1500002 1714288 3000004 6000008 12000016