242711120 has 80 divisors (see below), whose sum is σ = 584212608. Its totient is φ = 93703680.

The previous prime is 242711101. The next prime is 242711129. The reversal of 242711120 is 21117242.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 242711092 and 242711101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242711129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494075 + ... + 494565.

Almost surely, 2^242711120 is an apocalyptic number.

242711120 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 242711120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292106304).

242711120 is an abundant number, since it is smaller than the sum of its proper divisors (341501488).

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

242711120 is a wasteful number, since it uses less digits than its factorization.

242711120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 242711120 is about 15579.1886823416. The cubic root of 242711120 is about 623.7777671263. Note that the first 4 decimals are identical.

Adding to 242711120 its reverse (21117242), we get a palindrome (263828362).

The spelling of 242711120 in words is "two hundred forty-two million, seven hundred eleven thousand, one hundred twenty".