1110120211200 has 2592 divisors, whose sum is σ = 5096898777600. Its totient is φ = 206969241600.

The previous prime is 1110120211199. The next prime is 1110120211217. The reversal of 1110120211200 is 21120210111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12473260756 + ... + 12473260844.

Almost surely, 2^{1110120211200} is an apocalyptic number.

1110120211200 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 1110120211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548449388800).

1110120211200 is an abundant number, since it is smaller than the sum of its proper divisors (3986778566400).

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

1110120211200 is a wasteful number, since it uses less digits than its factorization.

1110120211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 189 counting only the distinct ones).

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

Adding to 1110120211200 its reverse (21120210111), we get a palindrome (1131240421311).

The spelling of 1110120211200 in words is "one trillion, one hundred ten billion, one hundred twenty million, two hundred eleven thousand, two hundred".