300214420000000 has 1152 divisors, whose sum is σ = 842908310899200. Its totient is φ = 105792000000000.

The previous prime is 300214419999947. The next prime is 300214420000003. The reversal of 300214420000000 is 24412003.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300214420000003) 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 127 ways as a sum of consecutive naturals, for example, 1310979999886 + ... + 1310980000114.

It is an arithmetic number, because the mean of its divisors is an integer number (731691242100).

Almost surely, 2^{300214420000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300214420000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421454155449600).

300214420000000 is an abundant number, since it is smaller than the sum of its proper divisors (542693890899200).

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

300214420000000 is an frugal number, since it uses more digits than its factorization.

300214420000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 300214420000000 its reverse (24412003), we get a palindrome (300214444412003).

The spelling of 300214420000000 in words is "three hundred trillion, two hundred fourteen billion, four hundred twenty million", and thus it is an aban number.