12132013312320 has 224 divisors, whose sum is σ = 42029810637696. Its totient is φ = 2940469248000.

The previous prime is 12132013312301. The next prime is 12132013312337. The reversal of 12132013312320 is 2321331023121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50578912 + ... + 50818208.

It is an arithmetic number, because the mean of its divisors is an integer number (187633083204).

Almost surely, 2^{12132013312320} is an apocalyptic number.

12132013312320 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 12132013312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21014905318848).

12132013312320 is an abundant number, since it is smaller than the sum of its proper divisors (29897797325376).

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

12132013312320 is a wasteful number, since it uses less digits than its factorization.

12132013312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244129 (or 244119 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12132013312320 its reverse (2321331023121), we get a palindrome (14453344335441).

The spelling of 12132013312320 in words is "twelve trillion, one hundred thirty-two billion, thirteen million, three hundred twelve thousand, three hundred twenty".