242302224252000 has 192 divisors, whose sum is σ = 865944094998528. Its totient is φ = 58739933120000.

The previous prime is 242302224251999. The next prime is 242302224252047. The reversal of 242302224252000 is 252422203242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917679456 + ... + 917943455.

It is an arithmetic number, because the mean of its divisors is an integer number (4510125494784).

Almost surely, 2^{242302224252000} is an apocalyptic number.

242302224252000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242302224252000 is an abundant number, since it is smaller than the sum of its proper divisors (623641870746528).

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

242302224252000 is a wasteful number, since it uses less digits than its factorization.

242302224252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835622950 (or 1835622932 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 242302224252000 its reverse (252422203242), we get a palindrome (242554646455242).

The spelling of 242302224252000 in words is "two hundred forty-two trillion, three hundred two billion, two hundred twenty-four million, two hundred fifty-two thousand".