12918280320 has 384 divisors, whose sum is σ = 50241185280. Its totient is φ = 3030220800.

The previous prime is 12918280223. The next prime is 12918280327. The reversal of 12918280320 is 2308281921.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (12918280327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1960872 + ... + 1967448.

It is an arithmetic number, because the mean of its divisors is an integer number (130836420).

Almost surely, 2^12918280320 is an apocalyptic number.

12918280320 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 12918280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25120592640).

12918280320 is an abundant number, since it is smaller than the sum of its proper divisors (37322904960).

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

12918280320 is a wasteful number, since it uses less digits than its factorization.

12918280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644 (or 6629 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12918280320 in words is "twelve billion, nine hundred eighteen million, two hundred eighty thousand, three hundred twenty".