13223130240012 has 768 divisors, whose sum is σ = 40638410588160. Its totient is φ = 3248451993600.

The previous prime is 13223130240011. The next prime is 13223130240071. The reversal of 13223130240012 is 21004203132231.

13223130240012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13223130240011) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54867760212 + ... + 54867760452.

It is an arithmetic number, because the mean of its divisors is an integer number (52914597120).

Almost surely, 2^{13223130240012} is an apocalyptic number.

13223130240012 is a gapful number since it is divisible by the number (12) 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 13223130240012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20319205294080).

13223130240012 is an abundant number, since it is smaller than the sum of its proper divisors (27415280348148).

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

13223130240012 is a wasteful number, since it uses less digits than its factorization.

13223130240012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 660 counting only the distinct ones).

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

Adding to 13223130240012 its reverse (21004203132231), we get a palindrome (34227333372243).

The spelling of 13223130240012 in words is "thirteen trillion, two hundred twenty-three billion, one hundred thirty million, two hundred forty thousand, twelve".