12016025600 has 216 divisors, whose sum is σ = 31530560040. Its totient is φ = 4529848320.

The previous prime is 12016025573. The next prime is 12016025611. The reversal of 12016025600 is 652061021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62259104 + ... + 62259296.

It is an arithmetic number, because the mean of its divisors is an integer number (145974815).

Almost surely, 2^12016025600 is an apocalyptic number.

12016025600 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 12016025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15765280020).

12016025600 is an abundant number, since it is smaller than the sum of its proper divisors (19514534440).

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

12016025600 is an frugal number, since it uses more digits than its factorization.

12016025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 12016025600 its reverse (652061021), we get a palindrome (12668086621).

The spelling of 12016025600 in words is "twelve billion, sixteen million, twenty-five thousand, six hundred".