12432898400 has 144 divisors (see below), whose sum is σ = 34108379424. Its totient is φ = 4390932480.

The previous prime is 12432898381. The next prime is 12432898403. The reversal of 12432898400 is 489823421.

12432898400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432898403) 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 23 ways as a sum of consecutive naturals, for example, 213212 + ... + 265188.

It is an arithmetic number, because the mean of its divisors is an integer number (236863746).

Almost surely, 2^12432898400 is an apocalyptic number.

12432898400 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 12432898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17054189712).

12432898400 is an abundant number, since it is smaller than the sum of its proper divisors (21675481024).

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

12432898400 is a wasteful number, since it uses less digits than its factorization.

12432898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52033 (or 52020 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 12432898400 in words is "twelve billion, four hundred thirty-two million, eight hundred ninety-eight thousand, four hundred".