1121104800 has 432 divisors, whose sum is σ = 4208480640. Its totient is φ = 291133440.

The previous prime is 1121104793. The next prime is 1121104811. The reversal of 1121104800 is 84011211.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 14191161 + ... + 14191239.

Almost surely, 2^1121104800 is an apocalyptic number.

1121104800 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 1121104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104240320).

1121104800 is an abundant number, since it is smaller than the sum of its proper divisors (3087375840).

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

1121104800 is an equidigital number, since it uses as much as digits as its factorization.

1121104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1121104800 is about 33482.9030999404. The cubic root of 1121104800 is about 1038.8401764563.

The spelling of 1121104800 in words is "one billion, one hundred twenty-one million, one hundred four thousand, eight hundred".