1110221211200 has 42 divisors (see below), whose sum is σ = 2731838071746. Its totient is φ = 444088483840.

The previous prime is 1110221211149. The next prime is 1110221211283. The reversal of 1110221211200 is 21121220111.

It can be written as a sum of positive squares in 3 ways, for example, as 178023237184 + 932197974016 = 421928^2 + 965504^2 .

It is a super-2 number, since 2×1110221211200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 346942529 + ... + 346945728.

It is an arithmetic number, because the mean of its divisors is an integer number (65043763613).

Almost surely, 2^{1110221211200} is an apocalyptic number.

1110221211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110221211200 is an abundant number, since it is smaller than the sum of its proper divisors (1621616860546).

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

1110221211200 is an equidigital number, since it uses as much as digits as its factorization.

1110221211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693888279 (or 693888264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1110221211200 its reverse (21121220111), we get a palindrome (1131342431311).

The spelling of 1110221211200 in words is "one trillion, one hundred ten billion, two hundred twenty-one million, two hundred eleven thousand, two hundred".