12000416 has 48 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 5740800.

The previous prime is 12000409. The next prime is 12000421. The reversal of 12000416 is 61400021.

It is a self number, because there is not a number n which added to its sum of digits gives 12000416.

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, 118766 + ... + 118866.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 2^12000416 is an apocalyptic number.

12000416 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 12000416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

12000416 is an abundant number, since it is smaller than the sum of its proper divisors (12675424).

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

12000416 is a wasteful number, since it uses less digits than its factorization.

12000416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12000416 is about 3464.1616590454. The cubic root of 12000416 is about 228.9454940419.

Adding to 12000416 its reverse (61400021), we get a palindrome (73400437).

The spelling of 12000416 in words is "twelve million, four hundred sixteen", and thus it is an aban number.