242127217120 has 96 divisors (see below), whose sum is σ = 577543932000. Its totient is φ = 95920367616.

The previous prime is 242127217091. The next prime is 242127217133. The reversal of 242127217120 is 21712721242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8257846 + ... + 8287114.

It is an arithmetic number, because the mean of its divisors is an integer number (6016082625).

Almost surely, 2^242127217120 is an apocalyptic number.

242127217120 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 242127217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288771966000).

242127217120 is an abundant number, since it is smaller than the sum of its proper divisors (335416714880).

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

242127217120 is a wasteful number, since it uses less digits than its factorization.

242127217120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29780 (or 29772 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

Adding to 242127217120 its reverse (21712721242), we get a palindrome (263839938362).

The spelling of 242127217120 in words is "two hundred forty-two billion, one hundred twenty-seven million, two hundred seventeen thousand, one hundred twenty".