2300212012000 has 192 divisors, whose sum is σ = 6616535103360. Its totient is φ = 769408512000.

The previous prime is 2300212011971. The next prime is 2300212012001. The reversal of 2300212012000 is 2102120032.

2300212012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300212012001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146166 + ... + 2149834.

It is an arithmetic number, because the mean of its divisors is an integer number (34461120330).

Almost surely, 2^{2300212012000} is an apocalyptic number.

2300212012000 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 2300212012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308267551680).

2300212012000 is an abundant number, since it is smaller than the sum of its proper divisors (4316323091360).

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

2300212012000 is a wasteful number, since it uses less digits than its factorization.

2300212012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003742 (or 2003724 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2300212012000 its reverse (2102120032), we get a palindrome (2302314132032).

The spelling of 2300212012000 in words is "two trillion, three hundred billion, two hundred twelve million, twelve thousand".