1131200 has 84 divisors (see below), whose sum is σ = 3212592. Its totient is φ = 384000.

The previous prime is 1131191. The next prime is 1131217. The reversal of 1131200 is 21311.

It is a super-2 number, since 2×1131200² = 2559226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11150 + ... + 11250.

2^1131200 is an apocalyptic number.

1131200 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 1131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606296).

1131200 is an abundant number, since it is smaller than the sum of its proper divisors (2081392).

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

1131200 is a wasteful number, since it uses less digits than its factorization.

1131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1131200 is about 1063.5788640247. The cubic root of 1131200 is about 104.1949007910.

Adding to 1131200 its reverse (21311), we get a palindrome (1152511).

It can be divided in two parts, 1131 and 200, that added together give a palindrome (1331).

The spelling of 1131200 in words is "one million, one hundred thirty-one thousand, two hundred".