301433442112 has 84 divisors (see below), whose sum is σ = 664867258020. Its totient is φ = 135475394560.

The previous prime is 301433442109. The next prime is 301433442127. The reversal of 301433442112 is 211244334103.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25707632896 + 275725809216 = 160336^2 + 525096^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 470538 + ... + 907894.

It is an arithmetic number, because the mean of its divisors is an integer number (7915086405).

Almost surely, 2^301433442112 is an apocalyptic number.

301433442112 is a gapful number since it is divisible by the number (32) 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 301433442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332433629010).

301433442112 is an abundant number, since it is smaller than the sum of its proper divisors (363433815908).

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

301433442112 is a wasteful number, since it uses less digits than its factorization.

301433442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437480 (or 437459 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 301433442112 its reverse (211244334103), we get a palindrome (512677776215).

The spelling of 301433442112 in words is "three hundred one billion, four hundred thirty-three million, four hundred forty-two thousand, one hundred twelve".