242123120300 has 144 divisors (see below), whose sum is σ = 541180362240. Its totient is φ = 93990624000.

The previous prime is 242123120293. The next prime is 242123120399. The reversal of 242123120300 is 3021321242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265776845 + ... + 265777755.

It is an arithmetic number, because the mean of its divisors is an integer number (3758196960).

Almost surely, 2^242123120300 is an apocalyptic number.

242123120300 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 242123120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270590181120).

242123120300 is an abundant number, since it is smaller than the sum of its proper divisors (299057241940).

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

242123120300 is a wasteful number, since it uses less digits than its factorization.

242123120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 242123120300 its reverse (3021321242), we get a palindrome (245144441542).

The spelling of 242123120300 in words is "two hundred forty-two billion, one hundred twenty-three million, one hundred twenty thousand, three hundred".