1189641200 has 120 divisors (see below), whose sum is σ = 3138549120. Its totient is φ = 429740800.

The previous prime is 1189641179. The next prime is 1189641217. The reversal of 1189641200 is 21469811.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 733991 + ... + 735609.

It is an arithmetic number, because the mean of its divisors is an integer number (26154576).

Almost surely, 2^1189641200 is an apocalyptic number.

1189641200 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 1189641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569274560).

1189641200 is an abundant number, since it is smaller than the sum of its proper divisors (1948907920).

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

1189641200 is a wasteful number, since it uses less digits than its factorization.

1189641200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 1189641200 is about 34491.1756830642. The cubic root of 1189641200 is about 1059.5919872669.

The spelling of 1189641200 in words is "one billion, one hundred eighty-nine million, six hundred forty-one thousand, two hundred".