110312100312 has 128 divisors (see below), whose sum is σ = 293309553600. Its totient is φ = 34511052800.

The previous prime is 110312100287. The next prime is 110312100331. The reversal of 110312100312 is 213001213011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110312100291 and 110312100300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8011738 + ... + 8025494.

Almost surely, 2^110312100312 is an apocalyptic number.

110312100312 is a gapful number since it is divisible by the number (12) 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 110312100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146654776800).

110312100312 is an abundant number, since it is smaller than the sum of its proper divisors (182997453288).

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

110312100312 is a wasteful number, since it uses less digits than its factorization.

110312100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14117 (or 14113 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 110312100312 its reverse (213001213011), we get a palindrome (323313313323).

The spelling of 110312100312 in words is "one hundred ten billion, three hundred twelve million, one hundred thousand, three hundred twelve".