110111221200 has 240 divisors, whose sum is σ = 368433561600. Its totient is φ = 28057751040.

The previous prime is 110111221159. The next prime is 110111221217. The reversal of 110111221200 is 2122111011.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45897601 + ... + 45899999.

It is an arithmetic number, because the mean of its divisors is an integer number (1535139840).

Almost surely, 2^110111221200 is an apocalyptic number.

110111221200 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 110111221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184216780800).

110111221200 is an abundant number, since it is smaller than the sum of its proper divisors (258322340400).

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

110111221200 is a wasteful number, since it uses less digits than its factorization.

110111221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110111221200 its reverse (2122111011), we get a palindrome (112233332211).

The spelling of 110111221200 in words is "one hundred ten billion, one hundred eleven million, two hundred twenty-one thousand, two hundred".