12059340480 has 448 divisors, whose sum is σ = 46700236800. Its totient is φ = 2905251840.

The previous prime is 12059340467. The next prime is 12059340481. The reversal of 12059340480 is 8404395021.

12059340480 is a `hidden beast` number, since 1 + 20 + 593 + 4 + 0 + 48 + 0 = 666.

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 (12059340481) 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, 21193636 + ... + 21194204.

It is an arithmetic number, because the mean of its divisors is an integer number (104241600).

Almost surely, 2^12059340480 is an apocalyptic number.

12059340480 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 12059340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23350118400).

12059340480 is an abundant number, since it is smaller than the sum of its proper divisors (34640896320).

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

12059340480 is a wasteful number, since it uses less digits than its factorization.

12059340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12059340480 in words is "twelve billion, fifty-nine million, three hundred forty thousand, four hundred eighty".