1206331200 has 126 divisors (see below), whose sum is σ = 4287637094. Its totient is φ = 321684480.

The previous prime is 1206331193. The next prime is 1206331207. The reversal of 1206331200 is 21336021.

1206331200 is a `hidden beast` number, since 1 + 20 + 633 + 12 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1206331193) and next prime (1206331207).

It can be written as a sum of positive squares in 3 ways, for example, as 49787136 + 1156544064 = 7056^2 + 34008^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206331207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27487 + ... + 56286.

Almost surely, 2^1206331200 is an apocalyptic number.

1206331200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1206331200 is an abundant number, since it is smaller than the sum of its proper divisors (3081305894).

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

1206331200 is a wasteful number, since it uses less digits than its factorization.

1206331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83801 (or 83783 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1206331200 is about 34732.2789347316. The cubic root of 1206331200 is about 1064.5241542806.

Adding to 1206331200 its reverse (21336021), we get a palindrome (1227667221).

The spelling of 1206331200 in words is "one billion, two hundred six million, three hundred thirty-one thousand, two hundred".