242213305534200 has 1152 divisors, whose sum is σ = 1098197335872000. Its totient is φ = 46201757184000.

The previous prime is 242213305534141. The next prime is 242213305534271. The reversal of 242213305534200 is 2435503312242.

242213305534200 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 1 + 3 + 305 + 5 + 342 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 325754451 + ... + 326497149.

It is an arithmetic number, because the mean of its divisors is an integer number (953296298500).

Almost surely, 2^{242213305534200} is an apocalyptic number.

242213305534200 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 242213305534200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549098667936000).

242213305534200 is an abundant number, since it is smaller than the sum of its proper divisors (855984030337800).

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

242213305534200 is a wasteful number, since it uses less digits than its factorization.

242213305534200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742933 (or 742921 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 242213305534200 its reverse (2435503312242), we get a palindrome (244648808846442).

The spelling of 242213305534200 in words is "two hundred forty-two trillion, two hundred thirteen billion, three hundred five million, five hundred thirty-four thousand, two hundred".