1180224000 has 320 divisors, whose sum is σ = 4366327680. Its totient is φ = 314265600.

The previous prime is 1180223999. The next prime is 1180224011. The reversal of 1180224000 is 4220811.

It is a tau number, because it is divible by the number of its divisors (320).

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

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, 1727659 + ... + 1728341.

It is an arithmetic number, because the mean of its divisors is an integer number (13644774).

Almost surely, 2^1180224000 is an apocalyptic number.

1180224000 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 1180224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183163840).

1180224000 is an abundant number, since it is smaller than the sum of its proper divisors (3186103680).

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

1180224000 is an frugal number, since it uses more digits than its factorization.

1180224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1180224000 is about 34354.3883659715. The cubic root of 1180224000 is about 1056.7886670406.

Adding to 1180224000 its reverse (4220811), we get a palindrome (1184444811).

The spelling of 1180224000 in words is "one billion, one hundred eighty million, two hundred twenty-four thousand".