1191013200 has 480 divisors, whose sum is σ = 4843440000. Its totient is φ = 275374080.

The previous prime is 1191013189. The next prime is 1191013207. The reversal of 1191013200 is 23101911.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1191013207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2386551 + ... + 2387049.

It is an arithmetic number, because the mean of its divisors is an integer number (10090500).

Almost surely, 2^1191013200 is an apocalyptic number.

1191013200 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 1191013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421720000).

1191013200 is an abundant number, since it is smaller than the sum of its proper divisors (3652426800).

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

1191013200 is a wasteful number, since it uses less digits than its factorization.

1191013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1191013200 is about 34511.0590970489. The cubic root of 1191013200 is about 1059.9991693360. Note that the first 3 decimals are identical.

The spelling of 1191013200 in words is "one billion, one hundred ninety-one million, thirteen thousand, two hundred".