2121241122420 has 192 divisors, whose sum is σ = 6890876375040. Its totient is φ = 477508128768.

The previous prime is 2121241122389. The next prime is 2121241122421. The reversal of 2121241122420 is 242211421212.

It is a super-2 number, since 2×2121241122420² (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 (2121241122421) 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, 226212772 + ... + 226222148.

It is an arithmetic number, because the mean of its divisors is an integer number (35889981120).

Almost surely, 2^{2121241122420} is an apocalyptic number.

2121241122420 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 2121241122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445438187520).

2121241122420 is an abundant number, since it is smaller than the sum of its proper divisors (4769635252620).

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

2121241122420 is a wasteful number, since it uses less digits than its factorization.

2121241122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17502 (or 17500 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 2121241122420 its reverse (242211421212), we get a palindrome (2363452543632).

The spelling of 2121241122420 in words is "two trillion, one hundred twenty-one billion, two hundred forty-one million, one hundred twenty-two thousand, four hundred twenty".