242816701120 has 336 divisors, whose sum is σ = 719592273792. Its totient is φ = 77538263040.

The previous prime is 242816701117. The next prime is 242816701147. The reversal of 242816701120 is 21107618242.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 25851625 + ... + 25861015.

It is an arithmetic number, because the mean of its divisors is an integer number (2141643672).

Almost surely, 2^242816701120 is an apocalyptic number.

242816701120 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 242816701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359796136896).

242816701120 is an abundant number, since it is smaller than the sum of its proper divisors (476775572672).

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

242816701120 is a wasteful number, since it uses less digits than its factorization.

242816701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9536 (or 9519 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 242816701120 in words is "two hundred forty-two billion, eight hundred sixteen million, seven hundred one thousand, one hundred twenty".