301142112 has 96 divisors (see below), whose sum is σ = 818748000. Its totient is φ = 96841728.

The previous prime is 301142111. The next prime is 301142137. The reversal of 301142112 is 211241103.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 301142091 and 301142100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301142111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528964 + ... + 529532.

It is an arithmetic number, because the mean of its divisors is an integer number (8528625).

Almost surely, 2^301142112 is an apocalyptic number.

301142112 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 301142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409374000).

301142112 is an abundant number, since it is smaller than the sum of its proper divisors (517605888).

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

301142112 is a wasteful number, since it uses less digits than its factorization.

301142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 301142112 is about 17353.4466893468. The cubic root of 301142112 is about 670.2813936446.

Adding to 301142112 its reverse (211241103), we get a palindrome (512383215).

The spelling of 301142112 in words is "three hundred one million, one hundred forty-two thousand, one hundred twelve".