242154005120 has 64 divisors (see below), whose sum is σ = 597573642240. Its totient is φ = 93737026560.

The previous prime is 242154005111. The next prime is 242154005147. The reversal of 242154005120 is 21500451242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 242154005120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6082832 + ... + 6122511.

It is an arithmetic number, because the mean of its divisors is an integer number (9337088160).

Almost surely, 2^242154005120 is an apocalyptic number.

242154005120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242154005120 is an abundant number, since it is smaller than the sum of its proper divisors (355419637120).

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

242154005120 is a wasteful number, since it uses less digits than its factorization.

242154005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12205393 (or 12205381 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 242154005120 its reverse (21500451242), we get a palindrome (263654456362).

The spelling of 242154005120 in words is "two hundred forty-two billion, one hundred fifty-four million, five thousand, one hundred twenty".