1189085200 has 60 divisors (see below), whose sum is σ = 2903669188. Its totient is φ = 467827200.

The previous prime is 1189085167. The next prime is 1189085201. The reversal of 1189085200 is 25809811.

1189085200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 115605504 + 1073479696 = 10752^2 + 32764^2 .

It is a super-2 number, since 2×1189085200² = 2827847225718080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1189085201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34 + ... + 48766.

Almost surely, 2^1189085200 is an apocalyptic number.

1189085200 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 1189085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451834594).

1189085200 is an abundant number, since it is smaller than the sum of its proper divisors (1714583988).

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

1189085200 is a wasteful number, since it uses less digits than its factorization.

1189085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48812 (or 48801 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 1189085200 is about 34483.1147085062. The cubic root of 1189085200 is about 1059.4268884821.

The spelling of 1189085200 in words is "one billion, one hundred eighty-nine million, eighty-five thousand, two hundred".