1152091200 has 336 divisors, whose sum is σ = 4188968000. Its totient is φ = 275374080.

The previous prime is 1152091147. The next prime is 1152091231. The reversal of 1152091200 is 21902511.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2308551 + ... + 2309049.

Almost surely, 2^1152091200 is an apocalyptic number.

1152091200 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 1152091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094484000).

1152091200 is an abundant number, since it is smaller than the sum of its proper divisors (3036876800).

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

1152091200 is a wasteful number, since it uses less digits than its factorization.

1152091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 1152091200 is about 33942.4689732494. The cubic root of 1152091200 is about 1048.3242203350.

Adding to 1152091200 its reverse (21902511), we get a palindrome (1173993711).

The spelling of 1152091200 in words is "one billion, one hundred fifty-two million, ninety-one thousand, two hundred".