1141224000 has 224 divisors, whose sum is σ = 4307287296. Its totient is φ = 260812800.

The previous prime is 1141223983. The next prime is 1141224001. The reversal of 1141224000 is 4221411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1141224001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164604 + ... + 171396.

Almost surely, 2^1141224000 is an apocalyptic number.

1141224000 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 1141224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153643648).

1141224000 is an abundant number, since it is smaller than the sum of its proper divisors (3166063296).

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

1141224000 is an equidigital number, since it uses as much as digits as its factorization.

1141224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1141224000 is about 33782.0070451713. The cubic root of 1141224000 is about 1045.0176656583.

Adding to 1141224000 its reverse (4221411), we get a palindrome (1145445411).

The spelling of 1141224000 in words is "one billion, one hundred forty-one million, two hundred twenty-four thousand".