12111601600 has 168 divisors, whose sum is σ = 34134104960. Its totient is φ = 4143467520.

The previous prime is 12111601577. The next prime is 12111601603. The reversal of 12111601600 is 610611121.

12111601600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111601603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6931927 + ... + 6933673.

Almost surely, 2^12111601600 is an apocalyptic number.

12111601600 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 12111601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17067052480).

12111601600 is an abundant number, since it is smaller than the sum of its proper divisors (22022503360).

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

12111601600 is a wasteful number, since it uses less digits than its factorization.

12111601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 12111601600 in words is "twelve billion, one hundred eleven million, six hundred one thousand, six hundred".