2133118120 has 64 divisors (see below), whose sum is σ = 5499907200. Its totient is φ = 729388800.

The previous prime is 2133118103. The next prime is 2133118151. The reversal of 2133118120 is 218113312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2133118091 and 2133118100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96070 + ... + 116170.

It is an arithmetic number, because the mean of its divisors is an integer number (85936050).

Almost surely, 2^2133118120 is an apocalyptic number.

2133118120 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 2133118120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749953600).

2133118120 is an abundant number, since it is smaller than the sum of its proper divisors (3366789080).

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

2133118120 is a wasteful number, since it uses less digits than its factorization.

2133118120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20498 (or 20494 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2133118120 is about 46185.6917237363. The cubic root of 2133118120 is about 1287.2758892291.

The spelling of 2133118120 in words is "two billion, one hundred thirty-three million, one hundred eighteen thousand, one hundred twenty".