242111411232 has 96 divisors (see below), whose sum is σ = 645916320000. Its totient is φ = 79393886208.

The previous prime is 242111411221. The next prime is 242111411233. The reversal of 242111411232 is 232114111242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242111411233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2043144 + ... + 2158392.

It is an arithmetic number, because the mean of its divisors is an integer number (6728295000).

Almost surely, 2^242111411232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242111411232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322958160000).

242111411232 is an abundant number, since it is smaller than the sum of its proper divisors (403804908768).

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

242111411232 is a wasteful number, since it uses less digits than its factorization.

242111411232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115618 (or 115610 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 242111411232 its reverse (232114111242), we get a palindrome (474225522474).

The spelling of 242111411232 in words is "two hundred forty-two billion, one hundred eleven million, four hundred eleven thousand, two hundred thirty-two".