12140809390080 has 2688 divisors, whose sum is σ = 53830330444800. Its totient is φ = 2563837526016.

The previous prime is 12140809390079. The next prime is 12140809390093. The reversal of 12140809390080 is 8009390804121.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 70178088874 + ... + 70178089046.

It is an arithmetic number, because the mean of its divisors is an integer number (20026164600).

Almost surely, 2^{12140809390080} is an apocalyptic number.

12140809390080 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 12140809390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26915165222400).

12140809390080 is an abundant number, since it is smaller than the sum of its proper divisors (41689521054720).

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

12140809390080 is an equidigital number, since it uses as much as digits as its factorization.

12140809390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 12140809390080 in words is "twelve trillion, one hundred forty billion, eight hundred nine million, three hundred ninety thousand, eighty".