312200030122112 has 128 divisors (see below), whose sum is σ = 682204942638720. Its totient is φ = 141135224832000.

The previous prime is 312200030122091. The next prime is 312200030122121. The reversal of 312200030122112 is 211221030002213.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005569333 + ... + 1005879755.

It is an arithmetic number, because the mean of its divisors is an integer number (5329726114365).

Almost surely, 2^{312200030122112} is an apocalyptic number.

312200030122112 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 312200030122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341102471319360).

312200030122112 is an abundant number, since it is smaller than the sum of its proper divisors (370004912516608).

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

312200030122112 is a wasteful number, since it uses less digits than its factorization.

312200030122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314342 (or 314330 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312200030122112 its reverse (211221030002213), we get a palindrome (523421060124325).

The spelling of 312200030122112 in words is "three hundred twelve trillion, two hundred billion, thirty million, one hundred twenty-two thousand, one hundred twelve".