12300241408900 has 81 divisors (see below), whose sum is σ = 26784466548357. Its totient is φ = 4903023660000.

The previous prime is 12300241408867. The next prime is 12300241408909. The reversal of 12300241408900 is 980414200321.

The square root of 12300241408900 is 3507170.

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., 4428086907204 + 7872154501696 = 2104302^2 + 2805736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12300241408909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16378483525 + ... + 16378484275.

Almost surely, 2^{12300241408900} is an apocalyptic number.

12300241408900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12300241408900 is the 3507170-th square number.

It is an amenable number.

12300241408900 is an abundant number, since it is smaller than the sum of its proper divisors (14484225139457).

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

12300241408900 is an frugal number, since it uses more digits than its factorization.

12300241408900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 12300241408900 in words is "twelve trillion, three hundred billion, two hundred forty-one million, four hundred eight thousand, nine hundred".