242200211200 has 108 divisors (see below), whose sum is σ = 599679430560. Its totient is φ = 96848404480.

The previous prime is 242200211189. The next prime is 242200211207. The reversal of 242200211200 is 2112002242.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242200211207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35318172 + ... + 35325028.

It is an arithmetic number, because the mean of its divisors is an integer number (5552587320).

Almost surely, 2^242200211200 is an apocalyptic number.

242200211200 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 242200211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299839715280).

242200211200 is an abundant number, since it is smaller than the sum of its proper divisors (357479219360).

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

242200211200 is an equidigital number, since it uses as much as digits as its factorization.

242200211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12402 (or 12383 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 242200211200 its reverse (2112002242), we get a palindrome (244312213442).

The spelling of 242200211200 in words is "two hundred forty-two billion, two hundred million, two hundred eleven thousand, two hundred".