12400092089600 has 432 divisors, whose sum is σ = 32309910627120. Its totient is φ = 4705144012800.

The previous prime is 12400092089543. The next prime is 12400092089603. The reversal of 12400092089600 is 698029000421.

It can be written as a sum of positive squares in 24 ways, for example, as 3868365177856 + 8531726911744 = 1966816^2 + 2920912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400092089603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3807211172 + ... + 3807214428.

It is an arithmetic number, because the mean of its divisors is an integer number (74791459785).

Almost surely, 2^{12400092089600} is an apocalyptic number.

12400092089600 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 12400092089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16154955313560).

12400092089600 is an abundant number, since it is smaller than the sum of its proper divisors (19909818537520).

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

12400092089600 is a wasteful number, since it uses less digits than its factorization.

12400092089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 12400092089600 in words is "twelve trillion, four hundred billion, ninety-two million, eighty-nine thousand, six hundred".