300201200220000 has 240 divisors, whose sum is σ = 984765019159152. Its totient is φ = 80049991680000.

The previous prime is 300201200219939. The next prime is 300201200220007. The reversal of 300201200220000 is 22002102003.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×300201200220000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300201200220007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1468757812 + ... + 1468962188.

Almost surely, 2^{300201200220000} is an apocalyptic number.

300201200220000 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 300201200220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492382509579576).

300201200220000 is an abundant number, since it is smaller than the sum of its proper divisors (684563818939152).

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

300201200220000 is a wasteful number, since it uses less digits than its factorization.

300201200220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228891 (or 228868 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 300201200220000 its reverse (22002102003), we get a palindrome (300223202322003).

The spelling of 300201200220000 in words is "three hundred trillion, two hundred one billion, two hundred million, two hundred twenty thousand".