11222101221120 has 360 divisors, whose sum is σ = 40544620692576. Its totient is φ = 2963503521792.

The previous prime is 11222101221113. The next prime is 11222101221167. The reversal of 11222101221120 is 2112210122211.

11222101221120 is a `hidden beast` number, since 1 + 1 + 222 + 101 + 221 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 11222101221093 and 11222101221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10153614 + ... + 11204466.

Almost surely, 2^{11222101221120} is an apocalyptic number.

11222101221120 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 11222101221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20272310346288).

11222101221120 is an abundant number, since it is smaller than the sum of its proper divisors (29322519471456).

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

11222101221120 is a wasteful number, since it uses less digits than its factorization.

11222101221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050989 (or 1050966 counting only the distinct ones).

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

Adding to 11222101221120 its reverse (2112210122211), we get a palindrome (13334311343331).

The spelling of 11222101221120 in words is "eleven trillion, two hundred twenty-two billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".