11222211200000 has 264 divisors, whose sum is σ = 29007171937800. Its totient is φ = 4334059520000.

The previous prime is 11222211199999. The next prime is 11222211200017. The reversal of 11222211200000 is 211222211.

It can be written as a sum of positive squares in 12 ways, for example, as 10632190575616 + 590020624384 = 3260704^2 + 768128^2 .

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, 92739536 + ... + 92860464.

Almost surely, 2^{11222211200000} is an apocalyptic number.

11222211200000 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 11222211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503585968900).

11222211200000 is an abundant number, since it is smaller than the sum of its proper divisors (17784960737800).

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

11222211200000 is an frugal number, since it uses more digits than its factorization.

11222211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121003 (or 120965 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11222211200000 its reverse (211222211), we get a palindrome (11222422422211).

The spelling of 11222211200000 in words is "eleven trillion, two hundred twenty-two billion, two hundred eleven million, two hundred thousand".