12405629280 has 192 divisors, whose sum is σ = 44100806400. Its totient is φ = 2903685120.

The previous prime is 12405629261. The next prime is 12405629287. The reversal of 12405629280 is 8292650421.

12405629280 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 (12405629287) 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 31 ways as a sum of consecutive naturals, for example, 112611 + ... + 193629.

It is an arithmetic number, because the mean of its divisors is an integer number (229691700).

Almost surely, 2^12405629280 is an apocalyptic number.

12405629280 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 12405629280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22050403200).

12405629280 is an abundant number, since it is smaller than the sum of its proper divisors (31695177120).

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

12405629280 is a wasteful number, since it uses less digits than its factorization.

12405629280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81077 (or 81069 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 12405629280 in words is "twelve billion, four hundred five million, six hundred twenty-nine thousand, two hundred eighty".