242968209120 has 1440 divisors, whose sum is σ = 1131466644000. Its totient is φ = 48534183936.

The previous prime is 242968209119. The next prime is 242968209131. The reversal of 242968209120 is 21902869242.

242968209120 is a `hidden beast` number, since 2 + 429 + 6 + 8 + 209 + 12 + 0 = 666.

242968209120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 156854106 + ... + 156855654.

It is an arithmetic number, because the mean of its divisors is an integer number (785740725).

Almost surely, 2^242968209120 is an apocalyptic number.

242968209120 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 242968209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565733322000).

242968209120 is an abundant number, since it is smaller than the sum of its proper divisors (888498434880).

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

242968209120 is a wasteful number, since it uses less digits than its factorization.

242968209120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 242968209120 in words is "two hundred forty-two billion, nine hundred sixty-eight million, two hundred nine thousand, one hundred twenty".