11221221211200 has 3360 divisors, whose sum is σ = 56249864444928. Its totient is φ = 2118555648000.

The previous prime is 11221221211171. The next prime is 11221221211219. The reversal of 11221221211200 is 211212212211.

11221221211200 is a `hidden beast` number, since 1 + 1 + 221 + 221 + 21 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8691882555 + ... + 8691883845.

Almost surely, 2^{11221221211200} is an apocalyptic number.

11221221211200 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 11221221211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28124932222464).

11221221211200 is an abundant number, since it is smaller than the sum of its proper divisors (45028643233728).

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

11221221211200 is a wasteful number, since it uses less digits than its factorization.

11221221211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11221221211200 its reverse (211212212211), we get a palindrome (11432433423411).

The spelling of 11221221211200 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred eleven thousand, two hundred".