1121680800 has 216 divisors, whose sum is σ = 4048428384. Its totient is φ = 292078080.

The previous prime is 1121680793. The next prime is 1121680823. The reversal of 1121680800 is 80861211.

1121680800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 307789 + ... + 311411.

It is an arithmetic number, because the mean of its divisors is an integer number (18742724).

Almost surely, 2^1121680800 is an apocalyptic number.

1121680800 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 1121680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024214192).

1121680800 is an abundant number, since it is smaller than the sum of its proper divisors (2926747584).

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

1121680800 is a wasteful number, since it uses less digits than its factorization.

1121680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1121680800 is about 33491.5034001163. The cubic root of 1121680800 is about 1039.0180573865.

The spelling of 1121680800 in words is "one billion, one hundred twenty-one million, six hundred eighty thousand, eight hundred".