12188126720 has 480 divisors, whose sum is σ = 37903082976. Its totient is φ = 3746856960.

The previous prime is 12188126711. The next prime is 12188126723. The reversal of 12188126720 is 2762188121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12188126723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166960604 + ... + 166960676.

Almost surely, 2^12188126720 is an apocalyptic number.

12188126720 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 12188126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18951541488).

12188126720 is an abundant number, since it is smaller than the sum of its proper divisors (25714956256).

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

12188126720 is an frugal number, since it uses more digits than its factorization.

12188126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The spelling of 12188126720 in words is "twelve billion, one hundred eighty-eight million, one hundred twenty-six thousand, seven hundred twenty".