1129018800 has 480 divisors, whose sum is σ = 4563596800. Its totient is φ = 237081600.

The previous prime is 1129018771. The next prime is 1129018801. The reversal of 1129018800 is 88109211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1129018801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5350695 + ... + 5350905.

Almost surely, 2^1129018800 is an apocalyptic number.

1129018800 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 1129018800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281798400).

1129018800 is an abundant number, since it is smaller than the sum of its proper divisors (3434578000).

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

1129018800 is a wasteful number, since it uses less digits than its factorization.

1129018800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 1129018800 is about 33600.8749886071. The cubic root of 1129018800 is about 1041.2788754556.

The spelling of 1129018800 in words is "one billion, one hundred twenty-nine million, eighteen thousand, eight hundred".