242153012000 has 384 divisors, whose sum is σ = 627419520000. Its totient is φ = 91760947200.

The previous prime is 242153011993. The next prime is 242153012033. The reversal of 242153012000 is 210351242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1625187926 + ... + 1625188074.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905000).

Almost surely, 2^242153012000 is an apocalyptic number.

242153012000 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 242153012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760000).

242153012000 is an abundant number, since it is smaller than the sum of its proper divisors (385266508000).

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

242153012000 is a wasteful number, since it uses less digits than its factorization.

242153012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 242153012000 its reverse (210351242), we get a palindrome (242363363242).

The spelling of 242153012000 in words is "two hundred forty-two billion, one hundred fifty-three million, twelve thousand".