242020130000 has 400 divisors, whose sum is σ = 662440851072. Its totient is φ = 84864000000.

The previous prime is 242020129993. The next prime is 242020130017. The reversal of 242020130000 is 31020242.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 464529740 + ... + 464530260.

Almost surely, 2^242020130000 is an apocalyptic number.

242020130000 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 242020130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331220425536).

242020130000 is an abundant number, since it is smaller than the sum of its proper divisors (420420721072).

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

242020130000 is a wasteful number, since it uses less digits than its factorization.

242020130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 242020130000 its reverse (31020242), we get a palindrome (242051150242).

The spelling of 242020130000 in words is "two hundred forty-two billion, twenty million, one hundred thirty thousand".