11520141200 has 60 divisors (see below), whose sum is σ = 27710934720. Its totient is φ = 4602430080.

The previous prime is 11520141131. The next prime is 11520141211. The reversal of 11520141200 is 214102511.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318437 + ... + 352763.

It is an arithmetic number, because the mean of its divisors is an integer number (461848912).

Almost surely, 2^11520141200 is an apocalyptic number.

11520141200 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 11520141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13855467360).

11520141200 is an abundant number, since it is smaller than the sum of its proper divisors (16190793520).

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

11520141200 is a wasteful number, since it uses less digits than its factorization.

11520141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35184 (or 35173 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 11520141200 its reverse (214102511), we get a palindrome (11734243711).

The spelling of 11520141200 in words is "eleven billion, five hundred twenty million, one hundred forty-one thousand, two hundred".