13320211214112 has 192 divisors, whose sum is σ = 38480808360960. Its totient is φ = 4000953369600.

The previous prime is 13320211214111. The next prime is 13320211214119. The reversal of 13320211214112 is 21141211202331.

It is a super-2 number, since 2×13320211214112² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13320211214111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60359589 + ... + 60579867.

It is an arithmetic number, because the mean of its divisors is an integer number (200420876880).

Almost surely, 2^{13320211214112} is an apocalyptic number.

13320211214112 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 13320211214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19240404180480).

13320211214112 is an abundant number, since it is smaller than the sum of its proper divisors (25160597146848).

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

13320211214112 is a wasteful number, since it uses less digits than its factorization.

13320211214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220807 (or 220799 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 13320211214112 its reverse (21141211202331), we get a palindrome (34461422416443).

The spelling of 13320211214112 in words is "thirteen trillion, three hundred twenty billion, two hundred eleven million, two hundred fourteen thousand, one hundred twelve".