12188208000 has 256 divisors, whose sum is σ = 41712353280. Its totient is φ = 3144960000.

The previous prime is 12188207981. The next prime is 12188208007. The reversal of 12188208000 is 80288121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12188208007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1483905 + ... + 1492095.

It is an arithmetic number, because the mean of its divisors is an integer number (162938880).

Almost surely, 2^12188208000 is an apocalyptic number.

12188208000 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 12188208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20856176640).

12188208000 is an abundant number, since it is smaller than the sum of its proper divisors (29524145280).

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

12188208000 is an equidigital number, since it uses as much as digits as its factorization.

12188208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The spelling of 12188208000 in words is "twelve billion, one hundred eighty-eight million, two hundred eight thousand".