242133120000 has 660 divisors, whose sum is σ = 883202484736. Its totient is φ = 63866880000.

The previous prime is 242133119971. The next prime is 242133120109. The reversal of 242133120000 is 21331242.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 731519835 + ... + 731520165.

Almost surely, 2^242133120000 is an apocalyptic number.

242133120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242133120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441601242368).

242133120000 is an abundant number, since it is smaller than the sum of its proper divisors (641069364736).

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

242133120000 is a wasteful number, since it uses less digits than its factorization.

242133120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 242133120000 its reverse (21331242), we get a palindrome (242154451242).

The spelling of 242133120000 in words is "two hundred forty-two billion, one hundred thirty-three million, one hundred twenty thousand".