1288200 has 96 divisors (see below), whose sum is σ = 4240800. Its totient is φ = 322560.

The previous prime is 1288193. The next prime is 1288201. The reversal of 1288200 is 28821.

It is not an unprimeable number, because it can be changed into a prime (1288201) 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 23 ways as a sum of consecutive naturals, for example, 11344 + ... + 11456.

It is an arithmetic number, because the mean of its divisors is an integer number (44175).

2^1288200 is an apocalyptic number.

1288200 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 1288200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120400).

1288200 is an abundant number, since it is smaller than the sum of its proper divisors (2952600).

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

1288200 is a wasteful number, since it uses less digits than its factorization.

1288200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1288200 is about 1134.9889867307. The cubic root of 1288200 is about 108.8080678129.

The spelling of 1288200 in words is "one million, two hundred eighty-eight thousand, two hundred".