242133513200 has 120 divisors (see below), whose sum is σ = 586410134016. Its totient is φ = 96075360000.

The previous prime is 242133513179. The next prime is 242133513203. The reversal of 242133513200 is 2315331242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 242133513200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242133513203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49706765 + ... + 49711635.

Almost surely, 2^242133513200 is an apocalyptic number.

242133513200 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 242133513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293205067008).

242133513200 is an abundant number, since it is smaller than the sum of its proper divisors (344276620816).

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

242133513200 is a wasteful number, since it uses less digits than its factorization.

242133513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 242133513200 its reverse (2315331242), we get a palindrome (244448844442).

The spelling of 242133513200 in words is "two hundred forty-two billion, one hundred thirty-three million, five hundred thirteen thousand, two hundred".