110223311032128 has 448 divisors, whose sum is σ = 345090990182400. Its totient is φ = 30395107491840.

The previous prime is 110223311032127. The next prime is 110223311032129. The reversal of 110223311032128 is 821230113322011.

It is an interprime number because it is at equal distance from previous prime (110223311032127) and next prime (110223311032129).

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 110223311032095 and 110223311032104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110223311032123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3958161501 + ... + 3958189347.

It is an arithmetic number, because the mean of its divisors is an integer number (770292388800).

Almost surely, 2^{110223311032128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110223311032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172545495091200).

110223311032128 is an abundant number, since it is smaller than the sum of its proper divisors (234867679150272).

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

110223311032128 is a wasteful number, since it uses less digits than its factorization.

110223311032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28678 (or 28668 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 110223311032128 its reverse (821230113322011), we get a palindrome (931453424354139).

The spelling of 110223311032128 in words is "one hundred ten trillion, two hundred twenty-three billion, three hundred eleven million, thirty-two thousand, one hundred twenty-eight".