2120613120 has 108 divisors (see below), whose sum is σ = 7337140356. Its totient is φ = 565493760.

The previous prime is 2120613113. The next prime is 2120613191. The reversal of 2120613120 is 213160212.

2120613120 is a `hidden beast` number, since 21 + 20 + 613 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1217730816 + 902882304 = 34896^2 + 30048^2 .

It is a super-2 number, since 2×2120613120² = 8994000009432268800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2120613093 and 2120613102.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 80521 + ... + 103560.

Almost surely, 2^2120613120 is an apocalyptic number.

2120613120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120613120 is an abundant number, since it is smaller than the sum of its proper divisors (5216527236).

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

2120613120 is a wasteful number, since it uses less digits than its factorization.

2120613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184108 (or 184091 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2120613120 is about 46050.1153093019. The cubic root of 2120613120 is about 1284.7554874993.

Adding to 2120613120 its reverse (213160212), we get a palindrome (2333773332).

The spelling of 2120613120 in words is "two billion, one hundred twenty million, six hundred thirteen thousand, one hundred twenty".