110111121312 has 24 divisors (see below), whose sum is σ = 289041693696. Its totient is φ = 36703707072.

The previous prime is 110111121251. The next prime is 110111121317. The reversal of 110111121312 is 213121111011.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×110111121312³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110111121291 and 110111121300.

It is not an unprimeable number, because it can be changed into a prime (110111121317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 573495328 + ... + 573495519.

It is an arithmetic number, because the mean of its divisors is an integer number (12043403904).

Almost surely, 2^110111121312 is an apocalyptic number.

110111121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110111121312 is an abundant number, since it is smaller than the sum of its proper divisors (178930572384).

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

110111121312 is a wasteful number, since it uses less digits than its factorization.

110111121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146990860 (or 1146990852 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 110111121312 its reverse (213121111011), we get a palindrome (323232232323).

The spelling of 110111121312 in words is "one hundred ten billion, one hundred eleven million, one hundred twenty-one thousand, three hundred twelve".