242124300 has 216 divisors, whose sum is σ = 851580912. Its totient is φ = 57024000.

The previous prime is 242124241. The next prime is 242124317. The reversal of 242124300 is 3421242.

242124300 is a `hidden beast` number, since 2 + 421 + 243 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 365970 + ... + 366630.

Almost surely, 2^242124300 is an apocalyptic number.

242124300 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 242124300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425790456).

242124300 is an abundant number, since it is smaller than the sum of its proper divisors (609456612).

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

242124300 is a wasteful number, since it uses less digits than its factorization.

242124300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242124300 is about 15560.3438265355. The cubic root of 242124300 is about 623.2746440846.

Adding to 242124300 its reverse (3421242), we get a palindrome (245545542).

The spelling of 242124300 in words is "two hundred forty-two million, one hundred twenty-four thousand, three hundred".