12064313220000 has 240 divisors, whose sum is σ = 39635031854880. Its totient is φ = 3212136576000.

The previous prime is 12064313219969. The next prime is 12064313220041. The reversal of 12064313220000 is 2231346021.

12064313220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38423646 + ... + 38736354.

It is an arithmetic number, because the mean of its divisors is an integer number (165145966062).

Almost surely, 2^{12064313220000} is an apocalyptic number.

12064313220000 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 12064313220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19817515927440).

12064313220000 is an abundant number, since it is smaller than the sum of its proper divisors (27570718634880).

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

12064313220000 is an equidigital number, since it uses as much as digits as its factorization.

12064313220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313385 (or 313362 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12064313220000 its reverse (2231346021), we get a palindrome (12066544566021).

The spelling of 12064313220000 in words is "twelve trillion, sixty-four billion, three hundred thirteen million, two hundred twenty thousand".