1117200 has 180 divisors, whose sum is σ = 4382160. Its totient is φ = 241920.

The previous prime is 1117199. The next prime is 1117243. The reversal of 1117200 is 27111.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58791 + ... + 58809.

2^1117200 is an apocalyptic number.

1117200 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 1117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191080).

1117200 is an abundant number, since it is smaller than the sum of its proper divisors (3264960).

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

1117200 is a wasteful number, since it uses less digits than its factorization.

1117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 1117200 is about 1056.9768209379. The cubic root of 1117200 is about 103.7632682504.

1117200 divided by its product of nonzero digits (14) gives a triangular number (79800 = T₃₉₉).

The spelling of 1117200 in words is "one million, one hundred seventeen thousand, two hundred".