242121200 has 60 divisors (see below), whose sum is σ = 591291768. Its totient is φ = 95251200.

The previous prime is 242121197. The next prime is 242121211. The reversal of 242121200 is 2121242.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 19439 + ... + 29361.

Almost surely, 2^242121200 is an apocalyptic number.

242121200 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 242121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295645884).

242121200 is an abundant number, since it is smaller than the sum of its proper divisors (349170568).

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

242121200 is a wasteful number, since it uses less digits than its factorization.

242121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002 (or 9991 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 242121200 is about 15560.2442140218. The cubic root of 242121200 is about 623.2719840740.

Adding to 242121200 its reverse (2121242), we get a palindrome (244242442).

The spelling of 242121200 in words is "two hundred forty-two million, one hundred twenty-one thousand, two hundred".