242110144122 has 192 divisors, whose sum is σ = 619697433600. Its totient is φ = 61715808000.

The previous prime is 242110144121. The next prime is 242110144127. The reversal of 242110144122 is 221441011242.

It is a happy number.

It is a super-2 number, since 2×242110144122² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242110144092 and 242110144101.

It is not an unprimeable number, because it can be changed into a prime (242110144121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62867497 + ... + 62871347.

It is an arithmetic number, because the mean of its divisors is an integer number (3227590800).

Almost surely, 2^242110144122 is an apocalyptic number.

242110144122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242110144122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309848716800).

242110144122 is an abundant number, since it is smaller than the sum of its proper divisors (377587289478).

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

242110144122 is a wasteful number, since it uses less digits than its factorization.

242110144122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 242110144122 its reverse (221441011242), we get a palindrome (463551155364).

The spelling of 242110144122 in words is "two hundred forty-two billion, one hundred ten million, one hundred forty-four thousand, one hundred twenty-two".