242412114320 has 80 divisors (see below), whose sum is σ = 578182993920. Its totient is φ = 94475868672.

The previous prime is 242412114311. The next prime is 242412114361. The reversal of 242412114320 is 23411214242.

242412114320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 242412114320.

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, 693926 + ... + 983034.

It is an arithmetic number, because the mean of its divisors is an integer number (7227287424).

Almost surely, 2^242412114320 is an apocalyptic number.

242412114320 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 242412114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289091496960).

242412114320 is an abundant number, since it is smaller than the sum of its proper divisors (335770879600).

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

242412114320 is a wasteful number, since it uses less digits than its factorization.

242412114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289392 (or 289386 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 242412114320 its reverse (23411214242), we get a palindrome (265823328562).

The spelling of 242412114320 in words is "two hundred forty-two billion, four hundred twelve million, one hundred fourteen thousand, three hundred twenty".