1141200 has 90 divisors (see below), whose sum is σ = 3972774. Its totient is φ = 303360.

The previous prime is 1141171. The next prime is 1141219. The reversal of 1141200 is 21411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 1140624 = 24^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3442 + ... + 3758.

2^1141200 is an apocalyptic number.

1141200 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 1141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986387).

1141200 is an abundant number, since it is smaller than the sum of its proper divisors (2831574).

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

1141200 is a wasteful number, since it uses less digits than its factorization.

1141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1141200 is about 1068.2696288859. The cubic root of 1141200 is about 104.5010340015.

Adding to 1141200 its reverse (21411), we get a palindrome (1162611).

The spelling of 1141200 in words is "one million, one hundred forty-one thousand, two hundred".