1120408000 has 112 divisors (see below), whose sum is σ = 2840089824. Its totient is φ = 437606400.

The previous prime is 1120407991. The next prime is 1120408013. The reversal of 1120408000 is 8040211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342372 + ... + 345628.

Almost surely, 2^1120408000 is an apocalyptic number.

1120408000 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 1120408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420044912).

1120408000 is an abundant number, since it is smaller than the sum of its proper divisors (1719681824).

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

1120408000 is an equidigital number, since it uses as much as digits as its factorization.

1120408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1120408000 is about 33472.4961722307. The cubic root of 1120408000 is about 1038.6249084889.

Adding to 1120408000 its reverse (8040211), we get a palindrome (1128448211).

The spelling of 1120408000 in words is "one billion, one hundred twenty million, four hundred eight thousand".