110223120132000 has 576 divisors, whose sum is σ = 397491110400384. Its totient is φ = 28919805235200.

The previous prime is 110223120131911. The next prime is 110223120132001. The reversal of 110223120132000 is 231021322011.

110223120132000 is a `hidden beast` number, since 1 + 1 + 0 + 223 + 120 + 1 + 320 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (110223120132001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2067057339 + ... + 2067110661.

It is an arithmetic number, because the mean of its divisors is an integer number (690088733334).

Almost surely, 2^{110223120132000} is an apocalyptic number.

110223120132000 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 110223120132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198745555200192).

110223120132000 is an abundant number, since it is smaller than the sum of its proper divisors (287267990268384).

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

110223120132000 is a wasteful number, since it uses less digits than its factorization.

110223120132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54278 (or 54257 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110223120132000 its reverse (231021322011), we get a palindrome (110454141454011).

The spelling of 110223120132000 in words is "one hundred ten trillion, two hundred twenty-three billion, one hundred twenty million, one hundred thirty-two thousand".