242551531200 has 336 divisors, whose sum is σ = 868946419584. Its totient is φ = 58744012800.

The previous prime is 242551531199. The next prime is 242551531223. The reversal of 242551531200 is 2135155242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89600247 + ... + 89602953.

Almost surely, 2^242551531200 is an apocalyptic number.

242551531200 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 242551531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434473209792).

242551531200 is an abundant number, since it is smaller than the sum of its proper divisors (626394888384).

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

242551531200 is a wasteful number, since it uses less digits than its factorization.

242551531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4440 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 242551531200 its reverse (2135155242), we get a palindrome (244686686442).

The spelling of 242551531200 in words is "two hundred forty-two billion, five hundred fifty-one million, five hundred thirty-one thousand, two hundred".