12016544400 has 945 divisors, whose sum is σ = 52147868331. Its totient is φ = 2651927040.

The previous prime is 12016544377. The next prime is 12016544431. The reversal of 12016544400 is 444561021.

The square root of 12016544400 is 109620.

It is a perfect power (a square), and thus also a powerful number.

12016544400 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 654 + 4 + 4 + 0 + 0 = 666.

12016544400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 165173904 + 11851370496 = 12852^2 + 108864^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 414363586 + ... + 414363614.

Almost surely, 2^12016544400 is an apocalyptic number.

12016544400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12016544400 is the 109620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12016544400

12016544400 is an abundant number, since it is smaller than the sum of its proper divisors (40131323931).

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

12016544400 is an equidigital number, since it uses as much as digits as its factorization.

12016544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 12016544400 in words is "twelve billion, sixteen million, five hundred forty-four thousand, four hundred".