1152591120 has 200 divisors, whose sum is σ = 4053240576. Its totient is φ = 303512832.

The previous prime is 1152591113. The next prime is 1152591131. The reversal of 1152591120 is 211952511.

1152591120 is a `hidden beast` number, since 1 + 1 + 52 + 591 + 1 + 20 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 536769 + ... + 538911.

Almost surely, 2^1152591120 is an apocalyptic number.

1152591120 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 1152591120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026620288).

1152591120 is an abundant number, since it is smaller than the sum of its proper divisors (2900649456).

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

1152591120 is a wasteful number, since it uses less digits than its factorization.

1152591120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The square root of 1152591120 is about 33949.8324001754. The cubic root of 1152591120 is about 1048.4758294145.

The spelling of 1152591120 in words is "one billion, one hundred fifty-two million, five hundred ninety-one thousand, one hundred twenty".