12013321320 has 1536 divisors, whose sum is σ = 58081121280. Its totient is φ = 2070282240.

The previous prime is 12013321297. The next prime is 12013321363. The reversal of 12013321320 is 2312331021.

12013321320 is a `hidden beast` number, since 1 + 20 + 1 + 3 + 321 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12013321293 and 12013321302.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 226666414 + ... + 226666466.

It is an arithmetic number, because the mean of its divisors is an integer number (37813230).

Almost surely, 2^12013321320 is an apocalyptic number.

12013321320 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 12013321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29040560640).

12013321320 is an abundant number, since it is smaller than the sum of its proper divisors (46067799960).

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

12013321320 is a wasteful number, since it uses less digits than its factorization.

12013321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12013321320 its reverse (2312331021), we get a palindrome (14325652341).

It can be divided in two parts, 12013 and 321320, that added together give a palindrome (333333).

The spelling of 12013321320 in words is "twelve billion, thirteen million, three hundred twenty-one thousand, three hundred twenty".