12051228934144 has 135 divisors (see below), whose sum is σ = 24804565294887. Its totient is φ = 5854761713664.

The previous prime is 12051228934117. The next prime is 12051228934153. The reversal of 12051228934144 is 44143982215021.

The square root of 12051228934144 is 3471488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9499414380544 + 2551814553600 = 3082112^2 + 1597440^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12051228934094 and 12051228934103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16440966802 + ... + 16440967534.

Almost surely, 2^{12051228934144} is an apocalyptic number.

12051228934144 is the 3471488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12051228934144

12051228934144 is an abundant number, since it is smaller than the sum of its proper divisors (12753336360743).

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

12051228934144 is an frugal number, since it uses more digits than its factorization.

12051228934144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 12051228934144 in words is "twelve trillion, fifty-one billion, two hundred twenty-eight million, nine hundred thirty-four thousand, one hundred forty-four".