12071745666320 has 40 divisors (see below), whose sum is σ = 28344697887960. Its totient is φ = 4780889369600.

The previous prime is 12071745666307. The next prime is 12071745666329. The reversal of 12071745666320 is 2366654717021.

12071745666320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1895313903616 + 10176431762704 = 1376704^2 + 3190052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12071745666329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 747005885 + ... + 747022044.

It is an arithmetic number, because the mean of its divisors is an integer number (708617447199).

Almost surely, 2^{12071745666320} is an apocalyptic number.

12071745666320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12071745666320 is an abundant number, since it is smaller than the sum of its proper divisors (16272952221640).

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

12071745666320 is a wasteful number, since it uses less digits than its factorization.

12071745666320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494028043 (or 1494028037 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 12071745666320 in words is "twelve trillion, seventy-one billion, seven hundred forty-five million, six hundred sixty-six thousand, three hundred twenty".