11212122111200 has 144 divisors (see below), whose sum is σ = 28115567363520. Its totient is φ = 4364051589120.

The previous prime is 11212122111167. The next prime is 11212122111217. The reversal of 11212122111200 is 211122121211.

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, 5642966 + ... + 7366634.

It is an arithmetic number, because the mean of its divisors is an integer number (195246995580).

Almost surely, 2^{11212122111200} is an apocalyptic number.

11212122111200 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 11212122111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14057783681760).

11212122111200 is an abundant number, since it is smaller than the sum of its proper divisors (16903445252320).

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

11212122111200 is a wasteful number, since it uses less digits than its factorization.

11212122111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723909 (or 1723896 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11212122111200 its reverse (211122121211), we get a palindrome (11423244232411).

The spelling of 11212122111200 in words is "eleven trillion, two hundred twelve billion, one hundred twenty-two million, one hundred eleven thousand, two hundred".