1152224000 has 72 divisors (see below), whose sum is σ = 2870413728. Its totient is φ = 460876800.

The previous prime is 1152223967. The next prime is 1152224009. The reversal of 1152224000 is 4222511.

It is a self number, because there is not a number n which added to its sum of digits gives 1152224000.

It is not an unprimeable number, because it can be changed into a prime (1152224009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13997 + ... + 50003.

Almost surely, 2^1152224000 is an apocalyptic number.

1152224000 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 1152224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435206864).

1152224000 is an abundant number, since it is smaller than the sum of its proper divisors (1718189728).

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

1152224000 is an frugal number, since it uses more digits than its factorization.

1152224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36038 (or 36014 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1152224000 is about 33944.4251682069. The cubic root of 1152224000 is about 1048.3644984274.

Adding to 1152224000 its reverse (4222511), we get a palindrome (1156446511).

The spelling of 1152224000 in words is "one billion, one hundred fifty-two million, two hundred twenty-four thousand".