20203120242000 has 720 divisors, whose sum is σ = 74558073245760. Its totient is φ = 5098054464000.

The previous prime is 20203120241977. The next prime is 20203120242001. The reversal of 20203120242000 is 24202130202.

20203120242000 is a `hidden beast` number, since 20 + 20 + 3 + 1 + 202 + 420 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20203120242001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9480580935 + ... + 9480583065.

It is an arithmetic number, because the mean of its divisors is an integer number (103552879508).

Almost surely, 2^{20203120242000} is an apocalyptic number.

20203120242000 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 20203120242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37279036622880).

20203120242000 is an abundant number, since it is smaller than the sum of its proper divisors (54354953003760).

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

20203120242000 is a wasteful number, since it uses less digits than its factorization.

20203120242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20203120242000 its reverse (24202130202), we get a palindrome (20227322372202).

The spelling of 20203120242000 in words is "twenty trillion, two hundred three billion, one hundred twenty million, two hundred forty-two thousand".