12464135280 has 640 divisors, whose sum is σ = 47596953600. Its totient is φ = 2985984000.

The previous prime is 12464135237. The next prime is 12464135291. The reversal of 12464135280 is 8253146421.

It is a happy number.

12464135280 is a `hidden beast` number, since 1 + 2 + 4 + 641 + 3 + 5 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 123407230 + ... + 123407330.

It is an arithmetic number, because the mean of its divisors is an integer number (74370240).

Almost surely, 2^12464135280 is an apocalyptic number.

12464135280 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 12464135280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23798476800).

12464135280 is an abundant number, since it is smaller than the sum of its proper divisors (35132818320).

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

12464135280 is a wasteful number, since it uses less digits than its factorization.

12464135280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12464135280 in words is "twelve billion, four hundred sixty-four million, one hundred thirty-five thousand, two hundred eighty".