12405013320 has 256 divisors, whose sum is σ = 45420134400. Its totient is φ = 2649185280.

The previous prime is 12405013319. The next prime is 12405013321. The reversal of 12405013320 is 2331050421.

It is an interprime number because it is at equal distance from previous prime (12405013319) and next prime (12405013321).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12405013321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746947 + ... + 763373.

It is an arithmetic number, because the mean of its divisors is an integer number (177422400).

Almost surely, 2^12405013320 is an apocalyptic number.

12405013320 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 12405013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22710067200).

12405013320 is an abundant number, since it is smaller than the sum of its proper divisors (33015121080).

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

12405013320 is a wasteful number, since it uses less digits than its factorization.

12405013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16508 (or 16504 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 12405013320 its reverse (2331050421), we get a palindrome (14736063741).

The spelling of 12405013320 in words is "twelve billion, four hundred five million, thirteen thousand, three hundred twenty".