2121133120 has 28 divisors (see below), whose sum is σ = 5050949004. Its totient is φ = 848453120.

The previous prime is 2121133097. The next prime is 2121133121. The reversal of 2121133120 is 213311212.

It can be written as a sum of positive squares in 2 ways, for example, as 1464133696 + 656999424 = 38264^2 + 25632^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2121133094 and 2121133103.

It is not an unprimeable number, because it can be changed into a prime (2121133121) 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 3 ways as a sum of consecutive naturals, for example, 3313951 + ... + 3314590.

Almost surely, 2^2121133120 is an apocalyptic number.

2121133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121133120 is an abundant number, since it is smaller than the sum of its proper divisors (2929815884).

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

2121133120 is an equidigital number, since it uses as much as digits as its factorization.

2121133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628558 (or 6628548 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2121133120 is about 46055.7609860048. The cubic root of 2121133120 is about 1284.8604914481.

Adding to 2121133120 its reverse (213311212), we get a palindrome (2334444332).

The spelling of 2121133120 in words is "two billion, one hundred twenty-one million, one hundred thirty-three thousand, one hundred twenty".