1103000211200 has 216 divisors, whose sum is σ = 2819581410240. Its totient is φ = 426950656000.

The previous prime is 1103000211179. The next prime is 1103000211211. The reversal of 1103000211200 is 21120003011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26750600 + ... + 26791800.

It is an arithmetic number, because the mean of its divisors is an integer number (13053617640).

Almost surely, 2^{1103000211200} is an apocalyptic number.

1103000211200 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 1103000211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409790705120).

1103000211200 is an abundant number, since it is smaller than the sum of its proper divisors (1716581199040).

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

1103000211200 is an equidigital number, since it uses as much as digits as its factorization.

1103000211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41363 (or 41344 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1103000211200 its reverse (21120003011), we get a palindrome (1124120214211).

The spelling of 1103000211200 in words is "one trillion, one hundred three billion, two hundred eleven thousand, two hundred".