2113123120 has 80 divisors (see below), whose sum is σ = 5214041280. Its totient is φ = 793690112.

The previous prime is 2113123099. The next prime is 2113123121. The reversal of 2113123120 is 213213112.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2113123094 and 2113123103.

It is not an unprimeable number, because it can be changed into a prime (2113123121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682536 + ... + 685624.

It is an arithmetic number, because the mean of its divisors is an integer number (65175516).

Almost surely, 2^2113123120 is an apocalyptic number.

2113123120 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 2113123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607020640).

2113123120 is an abundant number, since it is smaller than the sum of its proper divisors (3100918160).

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

2113123120 is a wasteful number, since it uses less digits than its factorization.

2113123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3616 counting only the distinct ones).

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

The square root of 2113123120 is about 45968.7189292893. The cubic root of 2113123120 is about 1283.2411188402.

Adding to 2113123120 its reverse (213213112), we get a palindrome (2326336232).

The spelling of 2113123120 in words is "two billion, one hundred thirteen million, one hundred twenty-three thousand, one hundred twenty".