110120084480000 has 2240 divisors, whose sum is σ = 353759560704000. Its totient is φ = 33400553472000.

The previous prime is 110120084479897. The next prime is 110120084480009. The reversal of 110120084480000 is 84480021011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2240).

It is not an unprimeable number, because it can be changed into a prime (110120084480009) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1237304319956 + ... + 1237304320044.

Almost surely, 2^{110120084480000} is an apocalyptic number.

110120084480000 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 110120084480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176879780352000).

110120084480000 is an abundant number, since it is smaller than the sum of its proper divisors (243639476224000).

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

110120084480000 is an frugal number, since it uses more digits than its factorization.

110120084480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The spelling of 110120084480000 in words is "one hundred ten trillion, one hundred twenty billion, eighty-four million, four hundred eighty thousand".