242133133000 has 256 divisors, whose sum is σ = 629212147200. Its totient is φ = 86479360000.

The previous prime is 242133132979. The next prime is 242133133001. The reversal of 242133133000 is 331331242.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (242133133001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163492260 + ... + 163493740.

It is an arithmetic number, because the mean of its divisors is an integer number (2457859950).

Almost surely, 2^242133133000 is an apocalyptic number.

242133133000 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 242133133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314606073600).

242133133000 is an abundant number, since it is smaller than the sum of its proper divisors (387079014200).

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

242133133000 is a wasteful number, since it uses less digits than its factorization.

242133133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 242133133000 its reverse (331331242), we get a palindrome (242464464242).

The spelling of 242133133000 in words is "two hundred forty-two billion, one hundred thirty-three million, one hundred thirty-three thousand".