241330103011200 has 576 divisors, whose sum is σ = 949650062256000. Its totient is φ = 52762847047680.

The previous prime is 241330103011187. The next prime is 241330103011201. The reversal of 241330103011200 is 2110301033142.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241330103011201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32154451 + ... + 38943149.

It is an arithmetic number, because the mean of its divisors is an integer number (1648698024750).

Almost surely, 2^{241330103011200} is an apocalyptic number.

241330103011200 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 241330103011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474825031128000).

241330103011200 is an abundant number, since it is smaller than the sum of its proper divisors (708319959244800).

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

241330103011200 is a wasteful number, since it uses less digits than its factorization.

241330103011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6788779 (or 6788739 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 241330103011200 its reverse (2110301033142), we get a palindrome (243440404044342).

The spelling of 241330103011200 in words is "two hundred forty-one trillion, three hundred thirty billion, one hundred three million, eleven thousand, two hundred".