110805123072 has 384 divisors, whose sum is σ = 367219681920. Its totient is φ = 28991029248.

The previous prime is 110805123071. The next prime is 110805123073. The reversal of 110805123072 is 270321508011.

It is an interprime number because it is at equal distance from previous prime (110805123071) and next prime (110805123073).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (110805123071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2994733038 + ... + 2994733074.

It is an arithmetic number, because the mean of its divisors is an integer number (956301255).

Almost surely, 2^110805123072 is an apocalyptic number.

110805123072 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 110805123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183609840960).

110805123072 is an abundant number, since it is smaller than the sum of its proper divisors (256414558848).

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

110805123072 is an frugal number, since it uses more digits than its factorization.

110805123072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 110805123072 in words is "one hundred ten billion, eight hundred five million, one hundred twenty-three thousand, seventy-two".