1205200 has 60 divisors (see below), whose sum is σ = 3044448. Its totient is φ = 457600.

The previous prime is 1205179. The next prime is 1205219. The reversal of 1205200 is 25021.

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

It is a congruent number.

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, 9135 + ... + 9265.

2^1205200 is an apocalyptic number.

1205200 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 1205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522224).

1205200 is an abundant number, since it is smaller than the sum of its proper divisors (1839248).

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

1205200 is a wasteful number, since it uses less digits than its factorization.

1205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1205200 is about 1097.8160137291. The cubic root of 1205200 is about 106.4191308620.

The spelling of 1205200 in words is "one million, two hundred five thousand, two hundred".