242112111000 has 128 divisors (see below), whose sum is σ = 767773805760. Its totient is φ = 63504768000.

The previous prime is 242112110971. The next prime is 242112111013. The reversal of 242112111000 is 111211242.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478509 + ... + 844508.

Almost surely, 2^242112111000 is an apocalyptic number.

242112111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242112111000 is an abundant number, since it is smaller than the sum of its proper divisors (525661694760).

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

242112111000 is a wasteful number, since it uses less digits than its factorization.

242112111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323102 (or 1323088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 242112111000 its reverse (111211242), we get a palindrome (242223322242).

It can be divided in two parts, 24211 and 2111000, that added together give a triangular number (2135211 = T₂₀₆₆).

The spelling of 242112111000 in words is "two hundred forty-two billion, one hundred twelve million, one hundred eleven thousand".