242112129 has 32 divisors (see below), whose sum is σ = 375217920. Its totient is φ = 136012800.

The previous prime is 242112121. The next prime is 242112133. The reversal of 242112129 is 921211242.

242112129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242112129 - 2³ = 242112121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242112099 and 242112108.

It is not an unprimeable number, because it can be changed into a prime (242112121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524959 + ... + 525419.

It is an arithmetic number, because the mean of its divisors is an integer number (11725560).

Almost surely, 2^242112129 is an apocalyptic number.

It is an amenable number.

242112129 is a deficient number, since it is larger than the sum of its proper divisors (133105791).

242112129 is a wasteful number, since it uses less digits than its factorization.

242112129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841.

The product of its digits is 576, while the sum is 24.

The square root of 242112129 is about 15559.9527312907. The cubic root of 242112129 is about 623.2642004092.

The spelling of 242112129 in words is "two hundred forty-two million, one hundred twelve thousand, one hundred twenty-nine".