13332122120000 has 140 divisors (see below), whose sum is σ = 33300652583220. Its totient is φ = 5293920768000.

The previous prime is 13332122119951. The next prime is 13332122120021. The reversal of 13332122120000 is 2122123331.

It can be written as a sum of positive squares in 10 ways, for example, as 9454247450176 + 3877874669824 = 3074776^2 + 1969232^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4263566 + ... + 6696434.

Almost surely, 2^{13332122120000} is an apocalyptic number.

13332122120000 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 13332122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16650326291610).

13332122120000 is an abundant number, since it is smaller than the sum of its proper divisors (19968530463220).

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

13332122120000 is an equidigital number, since it uses as much as digits as its factorization.

13332122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433038 (or 2433013 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13332122120000 its reverse (2122123331), we get a palindrome (13334244243331).

The spelling of 13332122120000 in words is "thirteen trillion, three hundred thirty-two billion, one hundred twenty-two million, one hundred twenty thousand".