12405304013472 has 144 divisors (see below), whose sum is σ = 36818380872000. Its totient is φ = 3954563306496.

The previous prime is 12405304013467. The next prime is 12405304013533. The reversal of 12405304013472 is 27431040350421.

12405304013472 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 5 + 304 + 0 + 1 + 347 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12405304013472² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35243404 + ... + 35593652.

It is an arithmetic number, because the mean of its divisors is an integer number (255683200500).

Almost surely, 2^{12405304013472} is an apocalyptic number.

12405304013472 is a gapful number since it is divisible by the number (12) 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 12405304013472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18409190436000).

12405304013472 is an abundant number, since it is smaller than the sum of its proper divisors (24413076858528).

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

12405304013472 is a wasteful number, since it uses less digits than its factorization.

12405304013472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355635 (or 355624 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 12405304013472 its reverse (27431040350421), we get a palindrome (39836344363893).

The spelling of 12405304013472 in words is "twelve trillion, four hundred five billion, three hundred four million, thirteen thousand, four hundred seventy-two".