242089121000 has 32 divisors (see below), whose sum is σ = 566488545480. Its totient is φ = 96835648000.

The previous prime is 242089120991. The next prime is 242089121009. The reversal of 242089121000 is 121980242.

242089121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242089120991) and next prime (242089121009).

It can be written as a sum of positive squares in 4 ways, for example, as 40992481156 + 201096639844 = 202466^2 + 448438^2 .

It is not an unprimeable number, because it can be changed into a prime (242089121009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121043561 + ... + 121045560.

Almost surely, 2^242089121000 is an apocalyptic number.

242089121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242089121000 is an abundant number, since it is smaller than the sum of its proper divisors (324399424480).

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

242089121000 is a wasteful number, since it uses less digits than its factorization.

242089121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242089142 (or 242089128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 242089121000 in words is "two hundred forty-two billion, eighty-nine million, one hundred twenty-one thousand".