1011200 has 60 divisors (see below), whose sum is σ = 2537040. Its totient is φ = 399360.

The previous prime is 1011191. The next prime is 1011217. The reversal of 1011200 is 21101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12761 + ... + 12839.

It is an arithmetic number, because the mean of its divisors is an integer number (42284).

2^1011200 is an apocalyptic number.

1011200 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 1011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268520).

1011200 is an abundant number, since it is smaller than the sum of its proper divisors (1525840).

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

1011200 is an frugal number, since it uses more digits than its factorization.

1011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1011200 is about 1005.5844071981. The cubic root of 1011200 is about 100.3719481637.

Adding to 1011200 its reverse (21101), we get a palindrome (1032301).

Subtracting from 1011200 its reverse (21101), we obtain a palindrome (990099).

The spelling of 1011200 in words is "one million, eleven thousand, two hundred".