1123924000 has 96 divisors (see below), whose sum is σ = 2856999600. Its totient is φ = 434022400.

The previous prime is 1123923979. The next prime is 1123924031. The reversal of 1123924000 is 4293211.

It can be written as a sum of positive squares in 8 ways, for example, as 54110736 + 1069813264 = 7356^2 + 32708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111156 + ... + 120844.

Almost surely, 2^1123924000 is an apocalyptic number.

1123924000 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 1123924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428499800).

1123924000 is an abundant number, since it is smaller than the sum of its proper divisors (1733075600).

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

1123924000 is an equidigital number, since it uses as much as digits as its factorization.

1123924000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9743 (or 9725 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1123924000 is about 33524.9757643462. The cubic root of 1123924000 is about 1039.7102249875.

The spelling of 1123924000 in words is "one billion, one hundred twenty-three million, nine hundred twenty-four thousand".