241112002132320 has 1536 divisors, whose sum is σ = 929920607723520. Its totient is φ = 51813616189440.

The previous prime is 241112002132279. The next prime is 241112002132361. The reversal of 241112002132320 is 23231200211142.

241112002132320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241112002132279) and next prime (241112002132361).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38782689852 + ... + 38782696068.

It is an arithmetic number, because the mean of its divisors is an integer number (605417062320).

Almost surely, 2^{241112002132320} is an apocalyptic number.

241112002132320 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 241112002132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464960303861760).

241112002132320 is an abundant number, since it is smaller than the sum of its proper divisors (688808605591200).

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

241112002132320 is a wasteful number, since it uses less digits than its factorization.

241112002132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6656 (or 6648 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 241112002132320 its reverse (23231200211142), we get a palindrome (264343202343462).

The spelling of 241112002132320 in words is "two hundred forty-one trillion, one hundred twelve billion, two million, one hundred thirty-two thousand, three hundred twenty".