242040101201120 has 192 divisors, whose sum is σ = 581659594306560. Its totient is φ = 95166856716288.

The previous prime is 242040101201081. The next prime is 242040101201153. The reversal of 242040101201120 is 21102101040242.

It is a super-3 number, since 3×242040101201120³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242040101201092 and 242040101201101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325407739 + ... + 1325590341.

It is an arithmetic number, because the mean of its divisors is an integer number (3029477053680).

Almost surely, 2^{242040101201120} is an apocalyptic number.

242040101201120 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 242040101201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290829797153280).

242040101201120 is an abundant number, since it is smaller than the sum of its proper divisors (339619493105440).

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

242040101201120 is a wasteful number, since it uses less digits than its factorization.

242040101201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183337 (or 183329 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 242040101201120 its reverse (21102101040242), we get a palindrome (263142202241362).

The spelling of 242040101201120 in words is "two hundred forty-two trillion, forty billion, one hundred one million, two hundred one thousand, one hundred twenty".