12169882800 has 480 divisors, whose sum is σ = 44836416000. Its totient is φ = 3133670400.

The previous prime is 12169882759. The next prime is 12169882807. The reversal of 12169882800 is 828896121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12169882807) 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, 45241066 + ... + 45241334.

It is an arithmetic number, because the mean of its divisors is an integer number (93409200).

Almost surely, 2^12169882800 is an apocalyptic number.

12169882800 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 12169882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22418208000).

12169882800 is an abundant number, since it is smaller than the sum of its proper divisors (32666533200).

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

12169882800 is a wasteful number, since it uses less digits than its factorization.

12169882800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 12169882800 in words is "twelve billion, one hundred sixty-nine million, eight hundred eighty-two thousand, eight hundred".