300200241120 has 384 divisors, whose sum is σ = 1038823833600. Its totient is φ = 72419278848.

The previous prime is 300200241097. The next prime is 300200241149. The reversal of 300200241120 is 21142002003.

It is a super-2 number, since 2×300200241120² (a number of 24 digits) contains 22 as substring.

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 300200241120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141004216 + ... + 141006344.

It is an arithmetic number, because the mean of its divisors is an integer number (2705270400).

Almost surely, 2^300200241120 is an apocalyptic number.

300200241120 is a gapful number since it is divisible by the number (30) 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 300200241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519411916800).

300200241120 is an abundant number, since it is smaller than the sum of its proper divisors (738623592480).

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

300200241120 is a wasteful number, since it uses less digits than its factorization.

300200241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 300200241120 its reverse (21142002003), we get a palindrome (321342243123).

It can be divided in two parts, 300200 and 241120, that added together give a triangular number (541320 = T₁₀₄₀).

The spelling of 300200241120 in words is "three hundred billion, two hundred million, two hundred forty-one thousand, one hundred twenty".