2120142242424 has 64 divisors (see below), whose sum is σ = 5389192224000. Its totient is φ = 694921731840.

The previous prime is 2120142242389. The next prime is 2120142242443. The reversal of 2120142242424 is 4242422410212.

It is a super-3 number, since 3×2120142242424³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2120142242391 and 2120142242400.

It is a congruent number.

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, 995629 + ... + 2287260.

It is an arithmetic number, because the mean of its divisors is an integer number (84206128500).

Almost surely, 2^{2120142242424} is an apocalyptic number.

2120142242424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2120142242424 is an abundant number, since it is smaller than the sum of its proper divisors (3269049981576).

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

2120142242424 is a wasteful number, since it uses less digits than its factorization.

2120142242424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283348 (or 3283344 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 2120142242424 its reverse (4242422410212), we get a palindrome (6362564652636).

The spelling of 2120142242424 in words is "two trillion, one hundred twenty billion, one hundred forty-two million, two hundred forty-two thousand, four hundred twenty-four".