305211145120000 has 1080 divisors, whose sum is σ = 936206185622400. Its totient is φ = 98709940224000.

The previous prime is 305211145119997. The next prime is 305211145120009. The reversal of 305211145120000 is 21541112503.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (305211145120009) 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 119 ways as a sum of consecutive naturals, for example, 35601435714 + ... + 35601444286.

It is an arithmetic number, because the mean of its divisors is an integer number (866857579280).

Almost surely, 2^{305211145120000} 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 305211145120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468103092811200).

305211145120000 is an abundant number, since it is smaller than the sum of its proper divisors (630995040502400).

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

305211145120000 is an equidigital number, since it uses as much as digits as its factorization.

305211145120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8881 (or 8845 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 305211145120000 its reverse (21541112503), we get a palindrome (305232686232503).

The spelling of 305211145120000 in words is "three hundred five trillion, two hundred eleven billion, one hundred forty-five million, one hundred twenty thousand".