1123942400 has 216 divisors, whose sum is σ = 3250573200. Its totient is φ = 385351680.

The previous prime is 1123942367. The next prime is 1123942411. The reversal of 1123942400 is 42493211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a self number, because there is not a number n which added to its sum of digits gives 1123942400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160563197 + ... + 160563203.

It is an arithmetic number, because the mean of its divisors is an integer number (15048950).

Almost surely, 2^1123942400 is an apocalyptic number.

1123942400 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 1123942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625286600).

1123942400 is an abundant number, since it is smaller than the sum of its proper divisors (2126630800).

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

1123942400 is an frugal number, since it uses more digits than its factorization.

1123942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1123942400 is about 33525.2501854945. The cubic root of 1123942400 is about 1039.7158987293.

The spelling of 1123942400 in words is "one billion, one hundred twenty-three million, nine hundred forty-two thousand, four hundred".