12010331300000 has 288 divisors, whose sum is σ = 33938565917760. Its totient is φ = 4137523200000.

The previous prime is 12010331299997. The next prime is 12010331300003. The reversal of 12010331300000 is 313301021.

12010331300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12010331299997) and next prime (12010331300003).

It is not an unprimeable number, because it can be changed into a prime (12010331300003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20612672 + ... + 21187328.

It is an arithmetic number, because the mean of its divisors is an integer number (117842242770).

Almost surely, 2^{12010331300000} is an apocalyptic number.

12010331300000 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 12010331300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16969282958880).

12010331300000 is an abundant number, since it is smaller than the sum of its proper divisors (21928234617760).

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

12010331300000 is an equidigital number, since it uses as much as digits as its factorization.

12010331300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574722 (or 574694 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 12010331300000 its reverse (313301021), we get a palindrome (12010644601021).

The spelling of 12010331300000 in words is "twelve trillion, ten billion, three hundred thirty-one million, three hundred thousand".