12443240100 has 144 divisors (see below), whose sum is σ = 38269300608. Its totient is φ = 3110799360.

The previous prime is 12443240099. The next prime is 12443240129. The reversal of 12443240100 is 104234421.

12443240100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12443240100³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1336662 + ... + 1345938.

It is an arithmetic number, because the mean of its divisors is an integer number (265759032).

Almost surely, 2^12443240100 is an apocalyptic number.

12443240100 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 12443240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19134650304).

12443240100 is an abundant number, since it is smaller than the sum of its proper divisors (25826060508).

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

12443240100 is a wasteful number, since it uses less digits than its factorization.

12443240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9574 (or 9567 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12443240100 its reverse (104234421), we get a palindrome (12547474521).

The spelling of 12443240100 in words is "twelve billion, four hundred forty-three million, two hundred forty thousand, one hundred".