242101112232 has 256 divisors, whose sum is σ = 753318973440. Its totient is φ = 63259693056.

The previous prime is 242101112203. The next prime is 242101112243. The reversal of 242101112232 is 232211101242.

It is a happy number.

242101112232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242101112232² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 242101112199 and 242101112208.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24188173 + ... + 24198179.

It is an arithmetic number, because the mean of its divisors is an integer number (2942652240).

Almost surely, 2^242101112232 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 242101112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376659486720).

242101112232 is an abundant number, since it is smaller than the sum of its proper divisors (511217861208).

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

242101112232 is a wasteful number, since it uses less digits than its factorization.

242101112232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10280 (or 10276 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 242101112232 its reverse (232211101242), we get a palindrome (474312213474).

The spelling of 242101112232 in words is "two hundred forty-two billion, one hundred one million, one hundred twelve thousand, two hundred thirty-two".