12180067200 has 960 divisors, whose sum is σ = 52799076000. Its totient is φ = 2763694080.

The previous prime is 12180067199. The next prime is 12180067201. The reversal of 12180067200 is 276008121.

12180067200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12180067199) and next prime (12180067201).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12180067201) 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 119 ways as a sum of consecutive naturals, for example, 88905532 + ... + 88905668.

Almost surely, 2^12180067200 is an apocalyptic number.

12180067200 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 12180067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26399538000).

12180067200 is an abundant number, since it is smaller than the sum of its proper divisors (40619008800).

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

12180067200 is an equidigital number, since it uses as much as digits as its factorization.

12180067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12180067200 in words is "twelve billion, one hundred eighty million, sixty-seven thousand, two hundred".