2142123120 has 60 divisors (see below), whose sum is σ = 7193965896. Its totient is φ = 571232640.

The previous prime is 2142123079. The next prime is 2142123143. The reversal of 2142123120 is 213212412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2142123120² = 9177382922477068800, 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 = 2142123093 and 2142123102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1486866 + ... + 1488305.

Almost surely, 2^2142123120 is an apocalyptic number.

2142123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142123120 is an abundant number, since it is smaller than the sum of its proper divisors (5051842776).

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

2142123120 is a wasteful number, since it uses less digits than its factorization.

2142123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975190 (or 2975181 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2142123120 is about 46283.0759565524. The cubic root of 2142123120 is about 1289.0847663504.

Adding to 2142123120 its reverse (213212412), we get a palindrome (2355335532).

The spelling of 2142123120 in words is "two billion, one hundred forty-two million, one hundred twenty-three thousand, one hundred twenty".