1171200 has 108 divisors (see below), whose sum is σ = 3928568. Its totient is φ = 307200.

The previous prime is 1171199. The next prime is 1171201. The reversal of 1171200 is 21711.

It is an interprime number because it is at equal distance from previous prime (1171199) and next prime (1171201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1171201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19170 + ... + 19230.

2^1171200 is an apocalyptic number.

1171200 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 1171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964284).

1171200 is an abundant number, since it is smaller than the sum of its proper divisors (2757368).

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

1171200 is an equidigital number, since it uses as much as digits as its factorization.

1171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 1171200 is about 1082.2199406775. The cubic root of 1171200 is about 105.4088368910.

Adding to 1171200 its reverse (21711), we get a palindrome (1192911).

The spelling of 1171200 in words is "one million, one hundred seventy-one thousand, two hundred".