1259200 has 42 divisors (see below), whose sum is σ = 3102356. Its totient is φ = 503040.

The previous prime is 1259191. The next prime is 1259213. The reversal of 1259200 is 29521.

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, 1207 + ... + 1993.

2^1259200 is an apocalyptic number.

1259200 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 1259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551178).

1259200 is an abundant number, since it is smaller than the sum of its proper divisors (1843156).

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

1259200 is an equidigital number, since it uses as much as digits as its factorization.

1259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1259200 is about 1122.1408111284. The cubic root of 1259200 is about 107.9853661013.

The spelling of 1259200 in words is "one million, two hundred fifty-nine thousand, two hundred".