12006816 has 48 divisors (see below), whose sum is σ = 31737888. Its totient is φ = 3974400.

The previous prime is 12006781. The next prime is 12006829. The reversal of 12006816 is 61860021.

12006816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17031 + ... + 17721.

It is an arithmetic number, because the mean of its divisors is an integer number (661206).

Almost surely, 2^12006816 is an apocalyptic number.

12006816 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 12006816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15868944).

12006816 is an abundant number, since it is smaller than the sum of its proper divisors (19731072).

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

12006816 is a wasteful number, since it uses less digits than its factorization.

12006816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12006816 is about 3465.0852803358. The cubic root of 12006816 is about 228.9861868190.

Adding to 12006816 its reverse (61860021), we get a palindrome (73866837).

The spelling of 12006816 in words is "twelve million, six thousand, eight hundred sixteen".