110112001011012 has 192 divisors, whose sum is σ = 345162450124800. Its totient is φ = 26385465899520.

The previous prime is 110112001011011. The next prime is 110112001011041. The reversal of 110112001011012 is 210110100211011.

It is a super-3 number, since 3×110112001011012³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110112001011011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18523414 + ... + 23734802.

It is an arithmetic number, because the mean of its divisors is an integer number (1797721094400).

Almost surely, 2^{110112001011012} is an apocalyptic number.

110112001011012 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 110112001011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172581225062400).

110112001011012 is an abundant number, since it is smaller than the sum of its proper divisors (235050449113788).

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

110112001011012 is a wasteful number, since it uses less digits than its factorization.

110112001011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213186 (or 5213184 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110112001011012 its reverse (210110100211011), we get a palindrome (320222101222023).

The spelling of 110112001011012 in words is "one hundred ten trillion, one hundred twelve billion, one million, eleven thousand, twelve".