2120331312 has 120 divisors (see below), whose sum is σ = 6570383040. Its totient is φ = 632903040.

The previous prime is 2120331299. The next prime is 2120331313. The reversal of 2120331312 is 2131330212.

2120331312 is a `hidden beast` number, since 2 + 1 + 20 + 331 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2120331313) 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, 96139 + ... + 116117.

It is an arithmetic number, because the mean of its divisors is an integer number (54753192).

Almost surely, 2^2120331312 is an apocalyptic number.

2120331312 is a gapful number since it is divisible by the number (22) 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 2120331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285191520).

2120331312 is an abundant number, since it is smaller than the sum of its proper divisors (4450051728).

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

2120331312 is a wasteful number, since it uses less digits than its factorization.

2120331312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20071 (or 20062 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2120331312 is about 46047.0554107426. The cubic root of 2120331312 is about 1284.6985746487.

Adding to 2120331312 its reverse (2131330212), we get a palindrome (4251661524).

The spelling of 2120331312 in words is "two billion, one hundred twenty million, three hundred thirty-one thousand, three hundred twelve".