12188456000 has 672 divisors, whose sum is σ = 39028055040. Its totient is φ = 3741696000.

The previous prime is 12188455999. The next prime is 12188456003. The reversal of 12188456000 is 65488121.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (12188456003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206583971 + ... + 206584029.

Almost surely, 2^12188456000 is an apocalyptic number.

12188456000 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 12188456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514027520).

12188456000 is an abundant number, since it is smaller than the sum of its proper divisors (26839599040).

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

12188456000 is a wasteful number, since it uses less digits than its factorization.

12188456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The spelling of 12188456000 in words is "twelve billion, one hundred eighty-eight million, four hundred fifty-six thousand".