12005623412256 has 48 divisors (see below), whose sum is σ = 31535926884000. Its totient is φ = 3999186797568.

The previous prime is 12005623412239. The next prime is 12005623412261. The reversal of 12005623412256 is 65221432650021.

12005623412256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41851206 + ... + 42137093.

It is an arithmetic number, because the mean of its divisors is an integer number (656998476750).

Almost surely, 2^{12005623412256} is an apocalyptic number.

12005623412256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12005623412256 is an abundant number, since it is smaller than the sum of its proper divisors (19530303471744).

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

12005623412256 is a wasteful number, since it uses less digits than its factorization.

12005623412256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83989801 (or 83989793 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 12005623412256 in words is "twelve trillion, five billion, six hundred twenty-three million, four hundred twelve thousand, two hundred fifty-six".