12161228800 has 336 divisors, whose sum is σ = 36566856000. Its totient is φ = 3916431360.

The previous prime is 12161228797. The next prime is 12161228809. The reversal of 12161228800 is 882216121.

It is not an unprimeable number, because it can be changed into a prime (12161228809) 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 23 ways as a sum of consecutive naturals, for example, 24370951 + ... + 24371449.

Almost surely, 2^12161228800 is an apocalyptic number.

12161228800 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 12161228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18283428000).

12161228800 is an abundant number, since it is smaller than the sum of its proper divisors (24405627200).

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

12161228800 is an equidigital number, since it uses as much as digits as its factorization.

12161228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The spelling of 12161228800 in words is "twelve billion, one hundred sixty-one million, two hundred twenty-eight thousand, eight hundred".