12446016 has 112 divisors (see below), whose sum is σ = 36868608. Its totient is φ = 3673600.

The previous prime is 12446011. The next prime is 12446029. The reversal of 12446016 is 61064421.

12446016 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 Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12446011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149911 + ... + 149993.

It is an arithmetic number, because the mean of its divisors is an integer number (329184).

Almost surely, 2^12446016 is an apocalyptic number.

12446016 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 12446016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

12446016 is an abundant number, since it is smaller than the sum of its proper divisors (24422592).

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

12446016 is a wasteful number, since it uses less digits than its factorization.

12446016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12446016 is about 3527.8911547835. The cubic root of 12446016 is about 231.7448641931.

It can be divided in two parts, 1244 and 6016, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 12446016 in words is "twelve million, four hundred forty-six thousand, sixteen".