242025120 has 144 divisors (see below), whose sum is σ = 832864032. Its totient is φ = 63997440.

The previous prime is 242025109. The next prime is 242025127. The reversal of 242025120 is 21520242.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×242025120² = 117152317422028800, which contains 22 as substring.

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 = 242025093 and 242025102.

It is not an unprimeable number, because it can be changed into a prime (242025127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187999 + ... + 189281.

It is an arithmetic number, because the mean of its divisors is an integer number (5783778).

Almost surely, 2^242025120 is an apocalyptic number.

242025120 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 242025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416432016).

242025120 is an abundant number, since it is smaller than the sum of its proper divisors (590838912).

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

242025120 is a wasteful number, since it uses less digits than its factorization.

242025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 242025120 is about 15557.1565525323. The cubic root of 242025120 is about 623.1895296460.

Adding to 242025120 its reverse (21520242), we get a palindrome (263545362).

The spelling of 242025120 in words is "two hundred forty-two million, twenty-five thousand, one hundred twenty".