12071523044736 has 768 divisors, whose sum is σ = 38925080064000. Its totient is φ = 3573147561984.

The previous prime is 12071523044639. The next prime is 12071523044741. The reversal of 12071523044736 is 63744032517021.

It is a happy number.

12071523044736 is a `hidden beast` number, since 1 + 20 + 7 + 152 + 3 + 0 + 4 + 473 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12071523044691 and 12071523044700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16247002381 + ... + 16247003123.

It is an arithmetic number, because the mean of its divisors is an integer number (50683698000).

Almost surely, 2^{12071523044736} is an apocalyptic number.

12071523044736 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 12071523044736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19462540032000).

12071523044736 is an abundant number, since it is smaller than the sum of its proper divisors (26853557019264).

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

12071523044736 is a wasteful number, since it uses less digits than its factorization.

12071523044736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 12071523044736 in words is "twelve trillion, seventy-one billion, five hundred twenty-three million, forty-four thousand, seven hundred thirty-six".