11611200 has 168 divisors, whose sum is σ = 39684960. Its totient is φ = 2969600.

The previous prime is 11611199. The next prime is 11611217. The reversal of 11611200 is 211611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196771 + ... + 196829.

It is an arithmetic number, because the mean of its divisors is an integer number (236220).

Almost surely, 2^11611200 is an apocalyptic number.

11611200 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 11611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842480).

11611200 is an abundant number, since it is smaller than the sum of its proper divisors (28073760).

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

11611200 is a wasteful number, since it uses less digits than its factorization.

11611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

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

The square root of 11611200 is about 3407.5210931115. The cubic root of 11611200 is about 226.4430705473.

Adding to 11611200 its reverse (211611), we get a palindrome (11822811).

It can be divided in two parts, 11611 and 200, that added together give a palindrome (11811).

The spelling of 11611200 in words is "eleven million, six hundred eleven thousand, two hundred".