2112132321 has 128 divisors (see below), whose sum is σ = 3747072000. Its totient is φ = 1163973888.

The previous prime is 2112132307. The next prime is 2112132329. The reversal of 2112132321 is 1232312112.

2112132321 is a `hidden beast` number, since 211 + 2 + 132 + 321 = 666.

It is not a de Polignac number, because 2112132321 - 2⁹ = 2112131809 is a prime.

It is a super-2 number, since 2×2112132321² = 8922205882825694082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112132294 and 2112132303.

It is not an unprimeable number, because it can be changed into a prime (2112132329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12957786 + ... + 12957948.

It is an arithmetic number, because the mean of its divisors is an integer number (29274000).

Almost surely, 2^2112132321 is an apocalyptic number.

It is an amenable number.

2112132321 is a deficient number, since it is larger than the sum of its proper divisors (1634939679).

2112132321 is a wasteful number, since it uses less digits than its factorization.

2112132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

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

The square root of 2112132321 is about 45957.9407828506. The cubic root of 2112132321 is about 1283.0405258927.

Adding to 2112132321 its reverse (1232312112), we get a palindrome (3344444433).

The spelling of 2112132321 in words is "two billion, one hundred twelve million, one hundred thirty-two thousand, three hundred twenty-one".