12421324100 has 108 divisors (see below), whose sum is σ = 28619801028. Its totient is φ = 4678560000.

The previous prime is 12421324079. The next prime is 12421324141. The reversal of 12421324100 is 142312421.

12421324100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5502078976 + 6919245124 = 74176^2 + 83182^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 35 ways as a sum of consecutive naturals, for example, 6533150 + ... + 6535050.

Almost surely, 2^12421324100 is an apocalyptic number.

12421324100 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 12421324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14309900514).

12421324100 is an abundant number, since it is smaller than the sum of its proper divisors (16198476928).

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

12421324100 is a wasteful number, since it uses less digits than its factorization.

12421324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12421324100 its reverse (142312421), we get a palindrome (12563636521).

The spelling of 12421324100 in words is "twelve billion, four hundred twenty-one million, three hundred twenty-four thousand, one hundred".