12071236320 has 864 divisors, whose sum is σ = 50825934432. Its totient is φ = 2571264000.

The previous prime is 12071236319. The next prime is 12071236339. The reversal of 12071236320 is 2363217021.

12071236320 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 1 + 23 + 632 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 197889090 + ... + 197889150.

It is an arithmetic number, because the mean of its divisors is an integer number (58826313).

Almost surely, 2^12071236320 is an apocalyptic number.

12071236320 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 12071236320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25412967216).

12071236320 is an abundant number, since it is smaller than the sum of its proper divisors (38754698112).

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

12071236320 is a wasteful number, since it uses less digits than its factorization.

12071236320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 12071236320 in words is "twelve billion, seventy-one million, two hundred thirty-six thousand, three hundred twenty".