242013212320 has 96 divisors (see below), whose sum is σ = 638239694400. Its totient is φ = 85958154240.

The previous prime is 242013212279. The next prime is 242013212323. The reversal of 242013212320 is 23212310242.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 242013212291 and 242013212300.

It is not an unprimeable number, because it can be changed into a prime (242013212323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1523245 + ... + 1674604.

It is an arithmetic number, because the mean of its divisors is an integer number (6648330150).

Almost surely, 2^242013212320 is an apocalyptic number.

242013212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242013212320 is an abundant number, since it is smaller than the sum of its proper divisors (396226482080).

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

242013212320 is a wasteful number, since it uses less digits than its factorization.

242013212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197918 (or 3197910 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 242013212320 its reverse (23212310242), we get a palindrome (265225522562).

The spelling of 242013212320 in words is "two hundred forty-two billion, thirteen million, two hundred twelve thousand, three hundred twenty".