12072446640000 has 960 divisors, whose sum is σ = 46057582668240. Its totient is φ = 3023806464000.

The previous prime is 12072446639969. The next prime is 12072446640043. The reversal of 12072446640000 is 4664427021.

12072446640000 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 2 + 4 + 4 + 6 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10807919442 + ... + 10807920558.

Almost surely, 2^{12072446640000} is an apocalyptic number.

12072446640000 is a gapful number since it is divisible by the number (10) 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 12072446640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23028791334120).

12072446640000 is an abundant number, since it is smaller than the sum of its proper divisors (33985136028240).

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

12072446640000 is a wasteful number, since it uses less digits than its factorization.

12072446640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 12072446640000 in words is "twelve trillion, seventy-two billion, four hundred forty-six million, six hundred forty thousand".