12016000 has 64 divisors (see below), whose sum is σ = 29914560. Its totient is φ = 4800000.

The previous prime is 12015977. The next prime is 12016013. The reversal of 12016000 is 61021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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, 15625 + ... + 16375.

It is an arithmetic number, because the mean of its divisors is an integer number (467415).

Almost surely, 2^12016000 is an apocalyptic number.

12016000 is a gapful number since it is divisible by the number (10) 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 12016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14957280).

12016000 is an abundant number, since it is smaller than the sum of its proper divisors (17898560).

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

12016000 is an frugal number, since it uses more digits than its factorization.

12016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 758 counting only the distinct ones).

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

The square root of 12016000 is about 3466.4102469269. The cubic root of 12016000 is about 229.0445556980.

Adding to 12016000 its reverse (61021), we get a palindrome (12077021).

The spelling of 12016000 in words is "twelve million, sixteen thousand".