1131180800 has 54 divisors (see below), whose sum is σ = 2799865068. Its totient is φ = 452469760.

The previous prime is 1131180797. The next prime is 1131180803. The reversal of 1131180800 is 80811311.

It is an interprime number because it is at equal distance from previous prime (1131180797) and next prime (1131180803).

It is not an unprimeable number, because it can be changed into a prime (1131180803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81974 + ... + 94773.

Almost surely, 2^1131180800 is an apocalyptic number.

1131180800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131180800 is an abundant number, since it is smaller than the sum of its proper divisors (1668684268).

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

1131180800 is an equidigital number, since it uses as much as digits as its factorization.

1131180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176773 (or 176754 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 23.

The square root of 1131180800 is about 33633.0313828534. The cubic root of 1131180800 is about 1041.9431128324.

The spelling of 1131180800 in words is "one billion, one hundred thirty-one million, one hundred eighty thousand, eight hundred".