12013072816144 has 45 divisors (see below), whose sum is σ = 23724222819703. Its totient is φ = 5892845069696.

The previous prime is 12013072816127. The next prime is 12013072816207. The reversal of 12013072816144 is 44161827031021.

The square root of 12013072816144 is 3465988.

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 248941123600 + 11764131692544 = 498940^2 + 3429888^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12013072816097 and 12013072816106.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 734781282 + ... + 734797630.

Almost surely, 2^{12013072816144} is an apocalyptic number.

12013072816144 is the 3465988-th square number.

It is an amenable number.

12013072816144 is a deficient number, since it is larger than the sum of its proper divisors (11711150003559).

12013072816144 is an frugal number, since it uses more digits than its factorization.

12013072816144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32812 (or 16404 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

Adding to 12013072816144 its reverse (44161827031021), we get a palindrome (56174899847165).

The spelling of 12013072816144 in words is "twelve trillion, thirteen billion, seventy-two million, eight hundred sixteen thousand, one hundred forty-four".