241352111000 has 768 divisors, whose sum is σ = 808040862720. Its totient is φ = 65295360000.

The previous prime is 241352110981. The next prime is 241352111009. The reversal of 241352111000 is 111253142.

241352111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241352111009) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 221220455 + ... + 221221545.

It is an arithmetic number, because the mean of its divisors is an integer number (1052136540).

Almost surely, 2^241352111000 is an apocalyptic number.

241352111000 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 241352111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404020431360).

241352111000 is an abundant number, since it is smaller than the sum of its proper divisors (566688751720).

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

241352111000 is a wasteful number, since it uses less digits than its factorization.

241352111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 241352111000 its reverse (111253142), we get a palindrome (241463364142).

The spelling of 241352111000 in words is "two hundred forty-one billion, three hundred fifty-two million, one hundred eleven thousand".