242213024000 has 72 divisors (see below), whose sum is σ = 603382999128. Its totient is φ = 96885196800.

The previous prime is 242213023993. The next prime is 242213024069. The reversal of 242213024000 is 420312242.

It can be written as a sum of positive squares in 4 ways, for example, as 6731874304 + 235481149696 = 82048^2 + 485264^2 .

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3752579 + ... + 3816578.

Almost surely, 2^242213024000 is an apocalyptic number.

242213024000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242213024000 is an abundant number, since it is smaller than the sum of its proper divisors (361169975128).

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

242213024000 is an frugal number, since it uses more digits than its factorization.

242213024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7569188 (or 7569164 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 242213024000 its reverse (420312242), we get a palindrome (242633336242).

The spelling of 242213024000 in words is "two hundred forty-two billion, two hundred thirteen million, twenty-four thousand".