242001124000 has 96 divisors (see below), whose sum is σ = 620449030656. Its totient is φ = 92591699200.

The previous prime is 242001123983. The next prime is 242001124021. The reversal of 242001124000 is 421100242.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1223224 + ... + 1407223.

It is an arithmetic number, because the mean of its divisors is an integer number (6463010736).

Almost surely, 2^242001124000 is an apocalyptic number.

242001124000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242001124000 is an abundant number, since it is smaller than the sum of its proper divisors (378447906656).

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

242001124000 is a wasteful number, since it uses less digits than its factorization.

242001124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630495 (or 2630477 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 242001124000 its reverse (421100242), we get a palindrome (242422224242).

The spelling of 242001124000 in words is "two hundred forty-two billion, one million, one hundred twenty-four thousand".