110112330311120 has 40 divisors (see below), whose sum is σ = 264839139288360. Its totient is φ = 42526141360640.

The previous prime is 110112330310987. The next prime is 110112330311161. The reversal of 110112330311120 is 21113033211011.

It can be written as a sum of positive squares in 4 ways, for example, as 25746856146496 + 84365474164624 = 5074136^2 + 9185068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110112330311092 and 110112330311101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23731103351 + ... + 23731107990.

It is an arithmetic number, because the mean of its divisors is an integer number (6620978482209).

Almost surely, 2^{110112330311120} is an apocalyptic number.

110112330311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110112330311120 is an abundant number, since it is smaller than the sum of its proper divisors (154726808977240).

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

110112330311120 is a wasteful number, since it uses less digits than its factorization.

110112330311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47462211383 (or 47462211377 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 110112330311120 its reverse (21113033211011), we get a palindrome (131225363522131).

The spelling of 110112330311120 in words is "one hundred ten trillion, one hundred twelve billion, three hundred thirty million, three hundred eleven thousand, one hundred twenty".