200300121120000 has 720 divisors, whose sum is σ = 726972212026368. Its totient is φ = 48540011520000.

The previous prime is 200300121119993. The next prime is 200300121120031. The reversal of 200300121120000 is 21121003002.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20185435039 + ... + 20185444961.

Almost surely, 2^{200300121120000} is an apocalyptic number.

200300121120000 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 200300121120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363486106013184).

200300121120000 is an abundant number, since it is smaller than the sum of its proper divisors (526672090906368).

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

200300121120000 is an equidigital number, since it uses as much as digits as its factorization.

200300121120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13796 (or 13767 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 200300121120000 its reverse (21121003002), we get a palindrome (200321242123002).

The spelling of 200300121120000 in words is "two hundred trillion, three hundred billion, one hundred twenty-one million, one hundred twenty thousand".