1120618800 has 540 divisors, whose sum is σ = 4690771696. Its totient is φ = 251942400.

The previous prime is 1120618789. The next prime is 1120618813. The reversal of 1120618800 is 88160211.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18370770 + ... + 18370830.

Almost surely, 2^1120618800 is an apocalyptic number.

1120618800 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 1120618800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345385848).

1120618800 is an abundant number, since it is smaller than the sum of its proper divisors (3570152896).

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

1120618800 is an frugal number, since it uses more digits than its factorization.

1120618800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1120618800 is about 33475.6448780304. The cubic root of 1120618800 is about 1038.6900420240.

The spelling of 1120618800 in words is "one billion, one hundred twenty million, six hundred eighteen thousand, eight hundred".