1331200 has 78 divisors (see below), whose sum is σ = 3554894. Its totient is φ = 491520.

The previous prime is 1331153. The next prime is 1331207. The reversal of 1331200 is 21331.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 1327104 = 64^2 + 1152^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102394 + ... + 102406.

2^1331200 is an apocalyptic number.

1331200 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 1331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777447).

1331200 is an abundant number, since it is smaller than the sum of its proper divisors (2223694).

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

1331200 is an equidigital number, since it uses as much as digits as its factorization.

1331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1331200 is about 1153.7764081485. The cubic root of 1331200 is about 110.0055093659.

Adding to 1331200 its reverse (21331), we get a palindrome (1352531).

It can be divided in two parts, 13 and 31200, that added together give a palindrome (31213).

The spelling of 1331200 in words is "one million, three hundred thirty-one thousand, two hundred".