2120332213332 has 384 divisors, whose sum is σ = 5925628800000. Its totient is φ = 654344054784.

The previous prime is 2120332213331. The next prime is 2120332213393. The reversal of 2120332213332 is 2333122330212.

2120332213332 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 3 + 322 + 1 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2120332213296 and 2120332213305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120332213331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4165681894 + ... + 4165682402.

It is an arithmetic number, because the mean of its divisors is an integer number (15431325000).

Almost surely, 2^{2120332213332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120332213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962814400000).

2120332213332 is an abundant number, since it is smaller than the sum of its proper divisors (3805296586668).

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

2120332213332 is a wasteful number, since it uses less digits than its factorization.

2120332213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2120332213332 its reverse (2333122330212), we get a palindrome (4453454543544).

The spelling of 2120332213332 in words is "two trillion, one hundred twenty billion, three hundred thirty-two million, two hundred thirteen thousand, three hundred thirty-two".