2124020142420 has 192 divisors, whose sum is σ = 6538325342976. Its totient is φ = 510916792320.

The previous prime is 2124020142367. The next prime is 2124020142421. The reversal of 2124020142420 is 242410204212.

It is a happy number.

It is a super-2 number, since 2×2124020142420² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124020142421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263751114 + ... + 263759166.

It is an arithmetic number, because the mean of its divisors is an integer number (34053777828).

Almost surely, 2^{2124020142420} is an apocalyptic number.

2124020142420 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 2124020142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269162671488).

2124020142420 is an abundant number, since it is smaller than the sum of its proper divisors (4414305200556).

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

2124020142420 is a wasteful number, since it uses less digits than its factorization.

2124020142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11130 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2124020142420 its reverse (242410204212), we get a palindrome (2366430346632).

The spelling of 2124020142420 in words is "two trillion, one hundred twenty-four billion, twenty million, one hundred forty-two thousand, four hundred twenty".