242451342120000 has 560 divisors, whose sum is σ = 865616559433472. Its totient is φ = 59517573120000.

The previous prime is 242451342119969. The next prime is 242451342120059. The reversal of 242451342120000 is 21243154242.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 242451342120000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 572308260 + ... + 572731740.

Almost surely, 2^{242451342120000} is an apocalyptic number.

242451342120000 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 242451342120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432808279716736).

242451342120000 is an abundant number, since it is smaller than the sum of its proper divisors (623165217313472).

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

242451342120000 is a wasteful number, since it uses less digits than its factorization.

242451342120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423896 (or 423871 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 242451342120000 its reverse (21243154242), we get a palindrome (242472585274242).

The spelling of 242451342120000 in words is "two hundred forty-two trillion, four hundred fifty-one billion, three hundred forty-two million, one hundred twenty thousand".