242212221240 has 512 divisors, whose sum is σ = 871216819200. Its totient is φ = 53177384960.

The previous prime is 242212221169. The next prime is 242212221259. The reversal of 242212221240 is 42122212242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242212221240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 303904522 + ... + 303905318.

It is an arithmetic number, because the mean of its divisors is an integer number (1701595350).

Almost surely, 2^242212221240 is an apocalyptic number.

242212221240 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 242212221240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435608409600).

242212221240 is an abundant number, since it is smaller than the sum of its proper divisors (629004597960).

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

242212221240 is a wasteful number, since it uses less digits than its factorization.

242212221240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 242212221240 its reverse (42122212242), we get a palindrome (284334433482).

The spelling of 242212221240 in words is "two hundred forty-two billion, two hundred twelve million, two hundred twenty-one thousand, two hundred forty".