11222100211200 has 960 divisors, whose sum is σ = 39456046080000. Its totient is φ = 2806961274880.

The previous prime is 11222100211141. The next prime is 11222100211207. The reversal of 11222100211200 is 211200122211.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11222100211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222100211207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7798540081 + ... + 7798541519.

It is an arithmetic number, because the mean of its divisors is an integer number (41100048000).

Almost surely, 2^{11222100211200} is an apocalyptic number.

11222100211200 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 11222100211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19728023040000).

11222100211200 is an abundant number, since it is smaller than the sum of its proper divisors (28233945868800).

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

11222100211200 is a wasteful number, since it uses less digits than its factorization.

11222100211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11222100211200 its reverse (211200122211), we get a palindrome (11433300333411).

The spelling of 11222100211200 in words is "eleven trillion, two hundred twenty-two billion, one hundred million, two hundred eleven thousand, two hundred".