242012002200 has 192 divisors, whose sum is σ = 791059785600. Its totient is φ = 61036416000.

The previous prime is 242012002187. The next prime is 242012002207. The reversal of 242012002200 is 2200210242.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 242012002200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242012002207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6833739 + ... + 6869061.

It is an arithmetic number, because the mean of its divisors is an integer number (4120103050).

Almost surely, 2^242012002200 is an apocalyptic number.

242012002200 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 242012002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395529892800).

242012002200 is an abundant number, since it is smaller than the sum of its proper divisors (549047783400).

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

242012002200 is a wasteful number, since it uses less digits than its factorization.

242012002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35962 (or 35953 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 242012002200 its reverse (2200210242), we get a palindrome (244212212442).

The spelling of 242012002200 in words is "two hundred forty-two billion, twelve million, two thousand, two hundred".