1127200 has 36 divisors (see below), whose sum is σ = 2753730. Its totient is φ = 450560.

The previous prime is 1127197. The next prime is 1127209. The reversal of 1127200 is 27211.

It can be written as a sum of positive squares in 3 ways, for example, as 467856 + 659344 = 684^2 + 812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96 + ... + 1504.

2^1127200 is an apocalyptic number.

1127200 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 1127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376865).

1127200 is an abundant number, since it is smaller than the sum of its proper divisors (1626530).

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

1127200 is a wasteful number, since it uses less digits than its factorization.

1127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 1127200 is about 1061.6967551990. The cubic root of 1127200 is about 104.0719423326.

The spelling of 1127200 in words is "one million, one hundred twenty-seven thousand, two hundred".