11601200 has 120 divisors (see below), whose sum is σ = 31643808. Its totient is φ = 4055040.

The previous prime is 11601181. The next prime is 11601203. The reversal of 11601200 is 210611.

It is not an unprimeable number, because it can be changed into a prime (11601203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119552 + ... + 119648.

Almost surely, 2^11601200 is an apocalyptic number.

11601200 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 11601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821904).

11601200 is an abundant number, since it is smaller than the sum of its proper divisors (20042608).

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

11601200 is a wasteful number, since it uses less digits than its factorization.

11601200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 11601200 is about 3406.0534346954. The cubic root of 11601200 is about 226.3780447938.

Adding to 11601200 its reverse (210611), we get a palindrome (11811811).

The spelling of 11601200 in words is "eleven million, six hundred one thousand, two hundred".