242124313011 has 64 divisors (see below), whose sum is σ = 382325391360. Its totient is φ = 133427669760.

The previous prime is 242124312977. The next prime is 242124313037. The reversal of 242124313011 is 110313421242.

It is not a de Polignac number, because 242124313011 - 2¹⁸ = 242124050867 is a prime.

It is a super-2 number, since 2×242124313011² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242124315011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69354976 + ... + 69358466.

It is an arithmetic number, because the mean of its divisors is an integer number (5973834240).

Almost surely, 2^242124313011 is an apocalyptic number.

242124313011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242124313011 is a deficient number, since it is larger than the sum of its proper divisors (140201078349).

242124313011 is a wasteful number, since it uses less digits than its factorization.

242124313011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 242124313011 its reverse (110313421242), we get a palindrome (352437734253).

The spelling of 242124313011 in words is "two hundred forty-two billion, one hundred twenty-four million, three hundred thirteen thousand, eleven".