242031120 has 80 divisors (see below), whose sum is σ = 789800640. Its totient is φ = 61143552.

The previous prime is 242031089. The next prime is 242031131. The reversal of 242031120 is 21130242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 242031120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21979 + ... + 31098.

It is an arithmetic number, because the mean of its divisors is an integer number (9872508).

Almost surely, 2^242031120 is an apocalyptic number.

242031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242031120 is an abundant number, since it is smaller than the sum of its proper divisors (547769520).

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

242031120 is a wasteful number, since it uses less digits than its factorization.

242031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53112 (or 53106 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 242031120 is about 15557.3493886330. The cubic root of 242031120 is about 623.1946793956.

Adding to 242031120 its reverse (21130242), we get a palindrome (263161362).

The spelling of 242031120 in words is "two hundred forty-two million, thirty-one thousand, one hundred twenty".