2120225312 has 96 divisors (see below), whose sum is σ = 4529803824. Its totient is φ = 973209600.

The previous prime is 2120225309. The next prime is 2120225347. The reversal of 2120225312 is 2135220212.

It can be written as a sum of positive squares in 8 ways, for example, as 123565456 + 1996659856 = 11116^2 + 44684^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6006128 + ... + 6006480.

Almost surely, 2^2120225312 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 2120225312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264901912).

2120225312 is an abundant number, since it is smaller than the sum of its proper divisors (2409578512).

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

2120225312 is a wasteful number, since it uses less digits than its factorization.

2120225312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2120225312 is about 46045.9043998486. The cubic root of 2120225312 is about 1284.6771659947.

Adding to 2120225312 its reverse (2135220212), we get a palindrome (4255445524).

The spelling of 2120225312 in words is "two billion, one hundred twenty million, two hundred twenty-five thousand, three hundred twelve".