242133120 has 192 divisors, whose sum is σ = 845245440. Its totient is φ = 63866880.

The previous prime is 242133119. The next prime is 242133127. The reversal of 242133120 is 21331242.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 242133093 and 242133102.

It is not an unprimeable number, because it can be changed into a prime (242133127) 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, 731355 + ... + 731685.

It is an arithmetic number, because the mean of its divisors is an integer number (4402320).

Almost surely, 2^242133120 is an apocalyptic number.

242133120 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 242133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422622720).

242133120 is an abundant number, since it is smaller than the sum of its proper divisors (603112320).

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

242133120 is a wasteful number, since it uses less digits than its factorization.

242133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 242133120 is about 15560.6272367151. The cubic root of 242133120 is about 623.2822121198.

Adding to 242133120 its reverse (21331242), we get a palindrome (263464362).

The spelling of 242133120 in words is "two hundred forty-two million, one hundred thirty-three thousand, one hundred twenty".