110122876880 has 80 divisors (see below), whose sum is σ = 260709980160. Its totient is φ = 43250402304.

The previous prime is 110122876873. The next prime is 110122876883. The reversal of 110122876880 is 88678221011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122876883) 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, 1260041 + ... + 1344599.

It is an arithmetic number, because the mean of its divisors is an integer number (3258874752).

Almost surely, 2^110122876880 is an apocalyptic number.

110122876880 is a gapful number since it is divisible by the number (10) 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 110122876880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130354990080).

110122876880 is an abundant number, since it is smaller than the sum of its proper divisors (150587103280).

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

110122876880 is a wasteful number, since it uses less digits than its factorization.

110122876880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84868 (or 84862 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 44.

The spelling of 110122876880 in words is "one hundred ten billion, one hundred twenty-two million, eight hundred seventy-six thousand, eight hundred eighty".