110112221200 has 60 divisors (see below), whose sum is σ = 265134230100. Its totient is φ = 43946721280.

The previous prime is 110112221117. The next prime is 110112221203. The reversal of 110112221200 is 2122211011.

It can be written as a sum of positive squares in 6 ways, for example, as 5982094336 + 104130126864 = 77344^2 + 322692^2 .

It is a super-3 number, since 3×110112221200³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (110112221203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126949 + ... + 486148.

It is an arithmetic number, because the mean of its divisors is an integer number (4418903835).

Almost surely, 2^110112221200 is an apocalyptic number.

110112221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110112221200 is an abundant number, since it is smaller than the sum of its proper divisors (155022008900).

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

110112221200 is a wasteful number, since it uses less digits than its factorization.

110112221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613564 (or 613553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110112221200 its reverse (2122211011), we get a palindrome (112234432211).

The spelling of 110112221200 in words is "one hundred ten billion, one hundred twelve million, two hundred twenty-one thousand, two hundred".