2120133120 has 320 divisors, whose sum is σ = 7836998400. Its totient is φ = 478937088.

The previous prime is 2120133091. The next prime is 2120133133. The reversal of 2120133120 is 213310212.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2120133120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6074706 + ... + 6075054.

It is an arithmetic number, because the mean of its divisors is an integer number (24490620).

Almost surely, 2^2120133120 is an apocalyptic number.

2120133120 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 2120133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918499200).

2120133120 is an abundant number, since it is smaller than the sum of its proper divisors (5716865280).

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

2120133120 is a wasteful number, since it uses less digits than its factorization.

2120133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2120133120 is about 46044.9033010169. The cubic root of 2120133120 is about 1284.6585455406.

Adding to 2120133120 its reverse (213310212), we get a palindrome (2333443332).

The spelling of 2120133120 in words is "two billion, one hundred twenty million, one hundred thirty-three thousand, one hundred twenty".