1197200 has 60 divisors (see below), whose sum is σ = 2986788. Its totient is φ = 460800.

The previous prime is 1197199. The next prime is 1197211. The reversal of 1197200 is 27911.

1197200 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 173056 + 1024144 = 416^2 + 1012^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 8.

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, 16364 + ... + 16436.

2^1197200 is an apocalyptic number.

1197200 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 1197200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493394).

1197200 is an abundant number, since it is smaller than the sum of its proper divisors (1789588).

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

1197200 is a wasteful number, since it uses less digits than its factorization.

1197200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 1197200 is about 1094.1663493272. The cubic root of 1197200 is about 106.1831413285.

The spelling of 1197200 in words is "one million, one hundred ninety-seven thousand, two hundred".