110233120032 has 144 divisors (see below), whose sum is σ = 358946078400. Its totient is φ = 31434656256.

The previous prime is 110233120013. The next prime is 110233120037. The reversal of 110233120032 is 230021332011.

110233120032 is a `hidden beast` number, since 1 + 102 + 331 + 200 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110233119987 and 110233120014.

It is not an unprimeable number, because it can be changed into a prime (110233120037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002094 + ... + 1106642.

It is an arithmetic number, because the mean of its divisors is an integer number (2492681100).

Almost surely, 2^110233120032 is an apocalyptic number.

110233120032 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 110233120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179473039200).

110233120032 is an abundant number, since it is smaller than the sum of its proper divisors (248712958368).

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

110233120032 is a wasteful number, since it uses less digits than its factorization.

110233120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105095 (or 105084 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 110233120032 its reverse (230021332011), we get a palindrome (340254452043).

The spelling of 110233120032 in words is "one hundred ten billion, two hundred thirty-three million, one hundred twenty thousand, thirty-two".