12132021100320 has 288 divisors, whose sum is σ = 45361442992320. Its totient is φ = 2928251934720.

The previous prime is 12132021100319. The next prime is 12132021100351. The reversal of 12132021100320 is 2300112023121.

12132021100320 is a `hidden beast` number, since 1 + 2 + 1 + 320 + 21 + 1 + 0 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 12132021100293 and 12132021100302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1955067 + ... + 5299653.

It is an arithmetic number, because the mean of its divisors is an integer number (157505010390).

Almost surely, 2^{12132021100320} is an apocalyptic number.

12132021100320 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 12132021100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680721496160).

12132021100320 is an abundant number, since it is smaller than the sum of its proper divisors (33229421892000).

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

12132021100320 is a wasteful number, since it uses less digits than its factorization.

12132021100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344848 (or 3344837 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12132021100320 its reverse (2300112023121), we get a palindrome (14432133123441).

The spelling of 12132021100320 in words is "twelve trillion, one hundred thirty-two billion, twenty-one million, one hundred thousand, three hundred twenty".