1189332000 has 144 divisors (see below), whose sum is σ = 4221067032. Its totient is φ = 317145600.

The previous prime is 1189331981. The next prime is 1189332029. The reversal of 1189332000 is 2339811.

It can be written as a sum of positive squares in 4 ways, for example, as 46621584 + 1142710416 = 6828^2 + 33804^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19482 + ... + 52518.

Almost surely, 2^1189332000 is an apocalyptic number.

1189332000 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 1189332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110533516).

1189332000 is an abundant number, since it is smaller than the sum of its proper divisors (3031735032).

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

1189332000 is a wasteful number, since it uses less digits than its factorization.

1189332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33068 (or 33047 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1189332000 is about 34486.6930858846. The cubic root of 1189332000 is about 1059.5001796891.

The spelling of 1189332000 in words is "one billion, one hundred eighty-nine million, three hundred thirty-two thousand".