241120000 has 180 divisors, whose sum is σ = 660894696. Its totient is φ = 87040000.

The previous prime is 241119997. The next prime is 241120001. The reversal of 241120000 is 21142.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (241120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1759932 + ... + 1760068.

Almost surely, 2^241120000 is an apocalyptic number.

241120000 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 241120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330447348).

241120000 is an abundant number, since it is smaller than the sum of its proper divisors (419774696).

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

241120000 is an equidigital number, since it uses as much as digits as its factorization.

241120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 241120000 is about 15528.0391550253. The cubic root of 241120000 is about 622.4116958876.

Adding to 241120000 its reverse (21142), we get a palindrome (241141142).

The spelling of 241120000 in words is "two hundred forty-one million, one hundred twenty thousand".