12005715456 has 160 divisors (see below), whose sum is σ = 40614900480. Its totient is φ = 3430176768.

The previous prime is 12005715451. The next prime is 12005715487. The reversal of 12005715456 is 65451750021.

It is a super-2 number, since 2×12005715456² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12005715456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005715451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34735 + ... + 158801.

It is an arithmetic number, because the mean of its divisors is an integer number (253843128).

Almost surely, 2^12005715456 is an apocalyptic number.

12005715456 is a gapful number since it is divisible by the number (16) 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 12005715456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20307450240).

12005715456 is an abundant number, since it is smaller than the sum of its proper divisors (28609185024).

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

12005715456 is an equidigital number, since it uses as much as digits as its factorization.

12005715456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124101 (or 124079 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 12005715456 in words is "twelve billion, five million, seven hundred fifteen thousand, four hundred fifty-six".