110132001330120 has 576 divisors, whose sum is σ = 469880592667200. Its totient is φ = 22095447413760.

The previous prime is 110132001330097. The next prime is 110132001330139. The reversal of 110132001330120 is 21033100231011.

110132001330120 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 320 + 0 + 1 + 330 + 12 + 0 = 666.

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 = 110132001330093 and 110132001330102.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4158594 + ... + 15412913.

It is an arithmetic number, because the mean of its divisors is an integer number (815764917825).

Almost surely, 2^{110132001330120} is an apocalyptic number.

110132001330120 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 110132001330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234940296333600).

110132001330120 is an abundant number, since it is smaller than the sum of its proper divisors (359748591337080).

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

110132001330120 is a wasteful number, since it uses less digits than its factorization.

110132001330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19571578 (or 19571564 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110132001330120 its reverse (21033100231011), we get a palindrome (131165101561131).

The spelling of 110132001330120 in words is "one hundred ten trillion, one hundred thirty-two billion, one million, three hundred thirty thousand, one hundred twenty".