1124020800 has 756 divisors, whose sum is σ = 4901092560. Its totient is φ = 252564480.

The previous prime is 1124020789. The next prime is 1124020801. The reversal of 1124020800 is 80204211.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1124020801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19051171 + ... + 19051229.

Almost surely, 2^1124020800 is an apocalyptic number.

1124020800 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 1124020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450546280).

1124020800 is an abundant number, since it is smaller than the sum of its proper divisors (3777071760).

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

1124020800 is an equidigital number, since it uses as much as digits as its factorization.

1124020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1124020800 is about 33526.4194330382. The cubic root of 1124020800 is about 1039.7400731090.

The spelling of 1124020800 in words is "one billion, one hundred twenty-four million, twenty thousand, eight hundred".