1129228800 has 240 divisors, whose sum is σ = 4264256832. Its totient is φ = 258048000.

The previous prime is 1129228799. The next prime is 1129228811. The reversal of 1129228800 is 88229211.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266700 + ... + 270900.

Almost surely, 2^1129228800 is an apocalyptic number.

1129228800 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 1129228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132128416).

1129228800 is an abundant number, since it is smaller than the sum of its proper divisors (3135028032).

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

1129228800 is an equidigital number, since it uses as much as digits as its factorization.

1129228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 1129228800 is about 33603.9997619331. Note that the first 3 decimals coincide. The cubic root of 1129228800 is about 1041.3434315131.

The spelling of 1129228800 in words is "one billion, one hundred twenty-nine million, two hundred twenty-eight thousand, eight hundred".