305301352122 has 128 divisors (see below), whose sum is σ = 792484197120. Its totient is φ = 86256506880.

The previous prime is 305301352121. The next prime is 305301352171. The reversal of 305301352122 is 221253103503.

It is a happy number.

305301352122 is a `hidden beast` number, since 3 + 0 + 5 + 301 + 352 + 1 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (305301352121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177313 + ... + 801275.

It is an arithmetic number, because the mean of its divisors is an integer number (6191282790).

Almost surely, 2^305301352122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305301352122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396242098560).

305301352122 is an abundant number, since it is smaller than the sum of its proper divisors (487182844998).

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

305301352122 is a wasteful number, since it uses less digits than its factorization.

305301352122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624045 (or 624039 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 305301352122 its reverse (221253103503), we get a palindrome (526554455625).

The spelling of 305301352122 in words is "three hundred five billion, three hundred one million, three hundred fifty-two thousand, one hundred twenty-two".