20121343242 has 384 divisors, whose sum is σ = 59570380800. Its totient is φ = 4436490240.

The previous prime is 20121343223. The next prime is 20121343243. The reversal of 20121343242 is 24234312102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20121343243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33591259 + ... + 33591857.

It is an arithmetic number, because the mean of its divisors is an integer number (155131200).

Almost surely, 2^20121343242 is an apocalyptic number.

20121343242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121343242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29785190400).

20121343242 is an abundant number, since it is smaller than the sum of its proper divisors (39449037558).

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

20121343242 is a wasteful number, since it uses less digits than its factorization.

20121343242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20121343242 its reverse (24234312102), we get a palindrome (44355655344).

It can be divided in two parts, 20121 and 343242, that added together give a palindrome (363363).

The spelling of 20121343242 in words is "twenty billion, one hundred twenty-one million, three hundred forty-three thousand, two hundred forty-two".