1206172900 has 81 divisors (see below), whose sum is σ = 2754382953. Its totient is φ = 458436000.

The previous prime is 1206172897. The next prime is 1206172909. The reversal of 1206172900 is 92716021.

It is a happy number.

The square root of 1206172900 is 34730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 434222244 + 771950656 = 20838^2 + 27784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1206172909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7987825 + ... + 7987975.

Almost surely, 2^1206172900 is an apocalyptic number.

1206172900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1206172900 is the 34730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206172900

1206172900 is an abundant number, since it is smaller than the sum of its proper divisors (1548210053).

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

1206172900 is a wasteful number, since it uses less digits than its factorization.

1206172900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The cubic root of 1206172900 is about 1064.4775884217.

Adding to 1206172900 its reverse (92716021), we get a palindrome (1298888921).

The spelling of 1206172900 in words is "one billion, two hundred six million, one hundred seventy-two thousand, nine hundred".