9781210000 has 225 divisors, whose sum is σ = 25344776919. Its totient is φ = 3655344000.

The previous prime is 9781209967. The next prime is 9781210009. The reversal of 9781210000 is 121879.

The square root of 9781210000 is 98900.

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

It can be written as a sum of positive squares in 2 ways, for example, as 766846864 + 9014363136 = 27692^2 + 94944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9781210009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 227469979 + ... + 227470021.

Almost surely, 2^9781210000 is an apocalyptic number.

9781210000 is the 98900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9781210000

9781210000 is an abundant number, since it is smaller than the sum of its proper divisors (15563566919).

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

9781210000 is an equidigital number, since it uses as much as digits as its factorization.

9781210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The cubic root of 9781210000 is about 2138.6063946046.

Adding to 9781210000 its reverse (121879), we get a palindrome (9781331879).

The spelling of 9781210000 in words is "nine billion, seven hundred eighty-one million, two hundred ten thousand".