242000014322220 has 384 divisors, whose sum is σ = 882954847272960. Its totient is φ = 48021663697920.

The previous prime is 242000014322189. The next prime is 242000014322249. The reversal of 242000014322220 is 22223410000242.

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, 63935334 + ... + 67614546.

It is an arithmetic number, because the mean of its divisors is an integer number (2299361581440).

Almost surely, 2^{242000014322220} is an apocalyptic number.

242000014322220 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 242000014322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441477423636480).

242000014322220 is an abundant number, since it is smaller than the sum of its proper divisors (640954832950740).

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

242000014322220 is a wasteful number, since it uses less digits than its factorization.

242000014322220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679885 (or 3679883 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242000014322220 its reverse (22223410000242), we get a palindrome (264223424322462).

The spelling of 242000014322220 in words is "two hundred forty-two trillion, fourteen million, three hundred twenty-two thousand, two hundred twenty".