241064111200 has 144 divisors (see below), whose sum is σ = 675787371840. Its totient is φ = 83045952000.

The previous prime is 241064111137. The next prime is 241064111273. The reversal of 241064111200 is 2111460142.

It is a super-2 number, since 2×241064111200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 553686 + ... + 888085.

It is an arithmetic number, because the mean of its divisors is an integer number (4692967860).

Almost surely, 2^241064111200 is an apocalyptic number.

241064111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241064111200 is an abundant number, since it is smaller than the sum of its proper divisors (434723260640).

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

241064111200 is a wasteful number, since it uses less digits than its factorization.

241064111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441821 (or 1441808 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 241064111200 its reverse (2111460142), we get a palindrome (243175571342).

The spelling of 241064111200 in words is "two hundred forty-one billion, sixty-four million, one hundred eleven thousand, two hundred".