11114200 has 48 divisors (see below), whose sum is σ = 26292960. Its totient is φ = 4368000.

The previous prime is 11114189. The next prime is 11114203. The reversal of 11114200 is 241111.

11114200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11114203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11745 + ... + 12655.

It is an arithmetic number, because the mean of its divisors is an integer number (547770).

Almost surely, 2^11114200 is an apocalyptic number.

11114200 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 11114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146480).

11114200 is an abundant number, since it is smaller than the sum of its proper divisors (15178760).

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

11114200 is a wasteful number, since it uses less digits than its factorization.

11114200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 979 counting only the distinct ones).

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

The square root of 11114200 is about 3333.7966344695. The cubic root of 11114200 is about 223.1649928182.

Adding to 11114200 its reverse (241111), we get a palindrome (11355311).

It can be divided in two parts, 111 and 14200, that multiplied together give a triangular number (1576200 = T₁₇₇₅).

The spelling of 11114200 in words is "eleven million, one hundred fourteen thousand, two hundred".