312142222413234 has 80 divisors (see below), whose sum is σ = 722111002229760. Its totient is φ = 100674449536320.

The previous prime is 312142222413211. The next prime is 312142222413319. The reversal of 312142222413234 is 432314222241213.

312142222413234 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 4 + 2 + 2 + 2 + 2 + 413 + 234 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25381287 + ... + 35615925.

It is an arithmetic number, because the mean of its divisors is an integer number (9026387527872).

Almost surely, 2^{312142222413234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312142222413234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361055501114880).

312142222413234 is an abundant number, since it is smaller than the sum of its proper divisors (409968779816526).

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

312142222413234 is a wasteful number, since it uses less digits than its factorization.

312142222413234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10240757 (or 10240748 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 312142222413234 its reverse (432314222241213), we get a palindrome (744456444654447).

The spelling of 312142222413234 in words is "three hundred twelve trillion, one hundred forty-two billion, two hundred twenty-two million, four hundred thirteen thousand, two hundred thirty-four".