1120224000 has 288 divisors, whose sum is σ = 4254921216. Its totient is φ = 255897600.

The previous prime is 1120223969. The next prime is 1120224011. The reversal of 1120224000 is 4220211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671167 + ... + 672833.

It is an arithmetic number, because the mean of its divisors is an integer number (14774032).

Almost surely, 2^1120224000 is an apocalyptic number.

1120224000 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 1120224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127460608).

1120224000 is an abundant number, since it is smaller than the sum of its proper divisors (3134697216).

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

1120224000 is an equidigital number, since it uses as much as digits as its factorization.

1120224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1120224000 is about 33469.7475341539. The cubic root of 1120224000 is about 1038.5680490099.

Adding to 1120224000 its reverse (4220211), we get a palindrome (1124444211).

The spelling of 1120224000 in words is "one billion, one hundred twenty million, two hundred twenty-four thousand".