1122944000 has 176 divisors, whose sum is σ = 2902089216. Its totient is φ = 433152000.

The previous prime is 1122943981. The next prime is 1122944021. The reversal of 1122944000 is 4492211.

It is a super-2 number, since 2×1122944000² = 2522006454272000000, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3967859 + ... + 3968141.

Almost surely, 2^1122944000 is an apocalyptic number.

1122944000 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 1122944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451044608).

1122944000 is an abundant number, since it is smaller than the sum of its proper divisors (1779145216).

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

1122944000 is an equidigital number, since it uses as much as digits as its factorization.

1122944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1122944000 is about 33510.3566080697. The cubic root of 1122944000 is about 1039.4079470427.

The spelling of 1122944000 in words is "one billion, one hundred twenty-two million, nine hundred forty-four thousand".