242187120 has 240 divisors, whose sum is σ = 962170560. Its totient is φ = 53415936.

The previous prime is 242187119. The next prime is 242187131. The reversal of 242187120 is 21781242.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145332 + ... + 146988.

It is an arithmetic number, because the mean of its divisors is an integer number (4009044).

Almost surely, 2^242187120 is an apocalyptic number.

242187120 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 242187120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481085280).

242187120 is an abundant number, since it is smaller than the sum of its proper divisors (719983440).

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

242187120 is a wasteful number, since it uses less digits than its factorization.

242187120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 242187120 is about 15562.3622885473. The cubic root of 242187120 is about 623.3285430220.

The spelling of 242187120 in words is "two hundred forty-two million, one hundred eighty-seven thousand, one hundred twenty".