1100212011200 has 336 divisors, whose sum is σ = 2912177608704. Its totient is φ = 407631052800.

The previous prime is 1100212011193. The next prime is 1100212011203. The reversal of 1100212011200 is 21102120011.

It is not an unprimeable number, because it can be changed into a prime (1100212011203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 702112817 + ... + 702114383.

It is an arithmetic number, because the mean of its divisors is an integer number (8667195264).

Almost surely, 2^{1100212011200} is an apocalyptic number.

1100212011200 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 1100212011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456088804352).

1100212011200 is an abundant number, since it is smaller than the sum of its proper divisors (1811965597504).

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

1100212011200 is a wasteful number, since it uses less digits than its factorization.

1100212011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1100212011200 its reverse (21102120011), we get a palindrome (1121314131211).

The spelling of 1100212011200 in words is "one trillion, one hundred billion, two hundred twelve million, eleven thousand, two hundred".