2120133216 has 48 divisors (see below), whose sum is σ = 5576122944. Its totient is φ = 705343104.

The previous prime is 2120133187. The next prime is 2120133217. The reversal of 2120133216 is 6123310212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2120133192 and 2120133201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120133217) 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 7 ways as a sum of consecutive naturals, for example, 29095 + ... + 71321.

It is an arithmetic number, because the mean of its divisors is an integer number (116169228).

Almost surely, 2^2120133216 is an apocalyptic number.

It is an amenable number.

2120133216 is an abundant number, since it is smaller than the sum of its proper divisors (3455989728).

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

2120133216 is a wasteful number, since it uses less digits than its factorization.

2120133216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42763 (or 42755 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2120133216 is about 46044.9043434776. The cubic root of 2120133216 is about 1284.6585649305.

Adding to 2120133216 its reverse (6123310212), we get a palindrome (8243443428).

The spelling of 2120133216 in words is "two billion, one hundred twenty million, one hundred thirty-three thousand, two hundred sixteen".