242211300002129 has 8 divisors (see below), whose sum is σ = 256462218380520. Its totient is φ = 227960736606976.

The previous prime is 242211300002117. The next prime is 242211300002131. The reversal of 242211300002129 is 921200003112242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67491942761104 + 174719357241025 = 8215348^2 + 13218145^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 242211300002129 - 2³² = 242207005034833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242211300004129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87340394 + ... + 90070899.

It is an arithmetic number, because the mean of its divisors is an integer number (32057777297565).

Almost surely, 2^{242211300002129} is an apocalyptic number.

It is an amenable number.

242211300002129 is a deficient number, since it is larger than the sum of its proper divisors (14250918378391).

242211300002129 is a wasteful number, since it uses less digits than its factorization.

242211300002129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177491619.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 242211300002129 in words is "two hundred forty-two trillion, two hundred eleven billion, three hundred million, two thousand, one hundred twenty-nine".