2120132322 has 288 divisors, whose sum is σ = 6252779520. Its totient is φ = 504092160.

The previous prime is 2120132297. The next prime is 2120132323. The reversal of 2120132322 is 2232310212.

2120132322 is a `hidden beast` number, since 212 + 0 + 132 + 322 = 666.

It is a super-2 number, since 2×2120132322² = 8989922125578223368, which contains 22 as substring.

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 = 2120132295 and 2120132304.

It is not an unprimeable number, because it can be changed into a prime (2120132323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26837079 + ... + 26837157.

It is an arithmetic number, because the mean of its divisors is an integer number (21711040).

Almost surely, 2^2120132322 is an apocalyptic number.

2120132322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120132322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126389760).

2120132322 is an abundant number, since it is smaller than the sum of its proper divisors (4132647198).

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

2120132322 is a wasteful number, since it uses less digits than its factorization.

2120132322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2120132322 is about 46044.8946355619. The cubic root of 2120132322 is about 1284.6583843624.

Adding to 2120132322 its reverse (2232310212), we get a palindrome (4352442534).

The spelling of 2120132322 in words is "two billion, one hundred twenty million, one hundred thirty-two thousand, three hundred twenty-two".