2112132320 has 144 divisors (see below), whose sum is σ = 5347345248. Its totient is φ = 786677760.

The previous prime is 2112132307. The next prime is 2112132329. The reversal of 2112132320 is 232312112.

It is a super-2 number, since 2×2112132320² = 8922205874377164800, which contains 22 as substring.

It is a congruent number.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21774512 + ... + 21774608.

It is an arithmetic number, because the mean of its divisors is an integer number (37134342).

Almost surely, 2^2112132320 is an apocalyptic number.

2112132320 is a gapful number since it is divisible by the number (20) 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 2112132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673672624).

2112132320 is an abundant number, since it is smaller than the sum of its proper divisors (3235212928).

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

2112132320 is an equidigital number, since it uses as much as digits as its factorization.

2112132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2112132320 is about 45957.9407719711. The cubic root of 2112132320 is about 1283.0405256902.

Adding to 2112132320 its reverse (232312112), we get a palindrome (2344444432).

The spelling of 2112132320 in words is "two billion, one hundred twelve million, one hundred thirty-two thousand, three hundred twenty".