11141200 has 120 divisors (see below), whose sum is σ = 32105088. Its totient is φ = 3632640.

The previous prime is 11141167. The next prime is 11141237. The reversal of 11141200 is 214111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 4.

It is a congruent number.

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, 64314 + ... + 64486.

Almost surely, 2^11141200 is an apocalyptic number.

11141200 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 11141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16052544).

11141200 is an abundant number, since it is smaller than the sum of its proper divisors (20963888).

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

11141200 is a wasteful number, since it uses less digits than its factorization.

11141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 11141200 is about 3337.8436152702. The cubic root of 11141200 is about 223.3455600841.

Adding to 11141200 its reverse (214111), we get a palindrome (11355311).

The spelling of 11141200 in words is "eleven million, one hundred forty-one thousand, two hundred".