1152117000 has 256 divisors, whose sum is σ = 4056998400. Its totient is φ = 302400000.

The previous prime is 1152116993. The next prime is 1152117011. The reversal of 1152117000 is 7112511.

It is a happy number.

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

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 63 ways as a sum of consecutive naturals, for example, 1916700 + ... + 1917300.

It is an arithmetic number, because the mean of its divisors is an integer number (15847650).

Almost surely, 2^1152117000 is an apocalyptic number.

1152117000 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 1152117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028499200).

1152117000 is an abundant number, since it is smaller than the sum of its proper divisors (2904881400).

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

1152117000 is a wasteful number, since it uses less digits than its factorization.

1152117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 1152117000 is about 33942.8490259731. The cubic root of 1152117000 is about 1048.3320456885.

Adding to 1152117000 its reverse (7112511), we get a palindrome (1159229511).

The spelling of 1152117000 in words is "one billion, one hundred fifty-two million, one hundred seventeen thousand".