1187082000 has 640 divisors, whose sum is σ = 4874688000. Its totient is φ = 273715200.

The previous prime is 1187081993. The next prime is 1187082067. The reversal of 1187082000 is 2807811.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13337956 + ... + 13338044.

It is an arithmetic number, because the mean of its divisors is an integer number (7616700).

Almost surely, 2^1187082000 is an apocalyptic number.

1187082000 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 1187082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437344000).

1187082000 is an abundant number, since it is smaller than the sum of its proper divisors (3687606000).

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

1187082000 is a wasteful number, since it uses less digits than its factorization.

1187082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1187082000 is about 34454.0563649623. The cubic root of 1187082000 is about 1058.8316306570.

Adding to 1187082000 its reverse (2807811), we get a palindrome (1189889811).

The spelling of 1187082000 in words is "one billion, one hundred eighty-seven million, eighty-two thousand".