242441131200 has 168 divisors, whose sum is σ = 801133515840. Its totient is φ = 64185676800.

The previous prime is 242441131183. The next prime is 242441131201. The reversal of 242441131200 is 2131144242.

It is a super-2 number, since 2×242441131200² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (242441131201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485515 + ... + 848885.

It is an arithmetic number, because the mean of its divisors is an integer number (4768651880).

Almost surely, 2^242441131200 is an apocalyptic number.

242441131200 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 242441131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400566757920).

242441131200 is an abundant number, since it is smaller than the sum of its proper divisors (558692384640).

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

242441131200 is a wasteful number, since it uses less digits than its factorization.

242441131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363535 (or 363520 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 242441131200 its reverse (2131144242), we get a palindrome (244572275442).

The spelling of 242441131200 in words is "two hundred forty-two billion, four hundred forty-one million, one hundred thirty-one thousand, two hundred".