242412214242 has 128 divisors (see below), whose sum is σ = 559690518528. Its totient is φ = 69329433600.

The previous prime is 242412214241. The next prime is 242412214249.

242412214242 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×242412214242² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242412214241) 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, 12960117 + ... + 12978807.

It is an arithmetic number, because the mean of its divisors is an integer number (4372582176).

Almost surely, 2^242412214242 is an apocalyptic number.

242412214242 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 242412214242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279845259264).

242412214242 is an abundant number, since it is smaller than the sum of its proper divisors (317278304286).

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

242412214242 is a wasteful number, since it uses less digits than its factorization.

242412214242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18904.

The product of its digits is 16384, while the sum is 30.

It can be divided in two parts, 242412 and 214242, that added together give a palindrome (456654).

The spelling of 242412214242 in words is "two hundred forty-two billion, four hundred twelve million, two hundred fourteen thousand, two hundred forty-two".