12300212021120 has 128 divisors (see below), whose sum is σ = 29615120640000. Its totient is φ = 4885076625408.

The previous prime is 12300212021107. The next prime is 12300212021191. The reversal of 12300212021120 is 2112021200321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53977181 + ... + 54204579.

It is an arithmetic number, because the mean of its divisors is an integer number (231368130000).

Almost surely, 2^{12300212021120} is an apocalyptic number.

12300212021120 is a gapful number since it is divisible by the number (10) 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 12300212021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14807560320000).

12300212021120 is an abundant number, since it is smaller than the sum of its proper divisors (17314908618880).

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

12300212021120 is a wasteful number, since it uses less digits than its factorization.

12300212021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228020 (or 228008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12300212021120 its reverse (2112021200321), we get a palindrome (14412233221441).

The spelling of 12300212021120 in words is "twelve trillion, three hundred billion, two hundred twelve million, twenty-one thousand, one hundred twenty".