242031147120 has 320 divisors, whose sum is σ = 953826094080. Its totient is φ = 55259366400.

The previous prime is 242031147041. The next prime is 242031147131. The reversal of 242031147120 is 21741130242.

242031147120 is a `hidden beast` number, since 2 + 420 + 3 + 114 + 7 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 14219415 + ... + 14236425.

It is an arithmetic number, because the mean of its divisors is an integer number (2980706544).

Almost surely, 2^242031147120 is an apocalyptic number.

242031147120 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 242031147120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476913047040).

242031147120 is an abundant number, since it is smaller than the sum of its proper divisors (711794946960).

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

242031147120 is a wasteful number, since it uses less digits than its factorization.

242031147120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17981 (or 17969 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 242031147120 its reverse (21741130242), we get a palindrome (263772277362).

The spelling of 242031147120 in words is "two hundred forty-two billion, thirty-one million, one hundred forty-seven thousand, one hundred twenty".