2168125120 has 112 divisors (see below), whose sum is σ = 6090928128. Its totient is φ = 719354880.

The previous prime is 2168125111. The next prime is 2168125121. The reversal of 2168125120 is 215218612.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2168125121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53829 + ... + 85051.

Almost surely, 2^2168125120 is an apocalyptic number.

2168125120 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 2168125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045464064).

2168125120 is an abundant number, since it is smaller than the sum of its proper divisors (3922803008).

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

2168125120 is a wasteful number, since it uses less digits than its factorization.

2168125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31278 (or 31268 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 2168125120 is about 46563.1304789530. The cubic root of 2168125120 is about 1294.2796229991.

The spelling of 2168125120 in words is "two billion, one hundred sixty-eight million, one hundred twenty-five thousand, one hundred twenty".