1123600800 has 288 divisors, whose sum is σ = 4271726592. Its totient is φ = 251182080.

The previous prime is 1123600789. The next prime is 1123600811. The reversal of 1123600800 is 80063211.

It is an interprime number because it is at equal distance from previous prime (1123600789) and next prime (1123600811).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788889 + ... + 790311.

It is an arithmetic number, because the mean of its divisors is an integer number (14832384).

Almost surely, 2^1123600800 is an apocalyptic number.

1123600800 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 1123600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135863296).

1123600800 is an abundant number, since it is smaller than the sum of its proper divisors (3148125792).

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

1123600800 is a wasteful number, since it uses less digits than its factorization.

1123600800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1123600800 is about 33520.1551309059. The cubic root of 1123600800 is about 1039.6105543809.

The spelling of 1123600800 in words is "one billion, one hundred twenty-three million, six hundred thousand, eight hundred".