110010002312 has 96 divisors (see below), whose sum is σ = 248429675520. Its totient is φ = 45489185280.

The previous prime is 110010002303. The next prime is 110010002369. The reversal of 110010002312 is 213200010011.

110010002312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 110010002293 and 110010002302.

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 23 ways as a sum of consecutive naturals, for example, 4081793 + ... + 4108655.

It is an arithmetic number, because the mean of its divisors is an integer number (2587809120).

Almost surely, 2^110010002312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110010002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124214837760).

110010002312 is an abundant number, since it is smaller than the sum of its proper divisors (138419673208).

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

110010002312 is a wasteful number, since it uses less digits than its factorization.

110010002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27251 (or 27240 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 110010002312 its reverse (213200010011), we get a palindrome (323210012323).

The spelling of 110010002312 in words is "one hundred ten billion, ten million, two thousand, three hundred twelve".