110321255311120 has 80 divisors (see below), whose sum is σ = 308567721651840. Its totient is φ = 35833670894592.

The previous prime is 110321255311051. The next prime is 110321255311121. The reversal of 110321255311120 is 21113552123011.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (110321255311121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5184258877 + ... + 5184280156.

It is an arithmetic number, because the mean of its divisors is an integer number (3857096520648).

Almost surely, 2^{110321255311120} is an apocalyptic number.

110321255311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110321255311120 is an abundant number, since it is smaller than the sum of its proper divisors (198246466340720).

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

110321255311120 is a wasteful number, since it uses less digits than its factorization.

110321255311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368539072 (or 10368539066 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 110321255311120 in words is "one hundred ten trillion, three hundred twenty-one billion, two hundred fifty-five million, three hundred eleven thousand, one hundred twenty".